Final Exam ReviewMultiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Compared to the graph of the base function , the graph of the function is translated A 9 units to the left C 9 units down B 9 units to the right D 9 units up ____ 2. Compared to the graph of the base function , the graph of the function is translated A 5 units to the right C 5 units down B 5 units up D 5 units to the left ____ 3. Compared to the graph of the base function , the graph of the function is translated A 4 units to the right C 4 units down B 4 units to the left D 4 units up ____ 4. Compared to the graph of the base function , the graph of the function is translated A 9 units to the right C 9 units down B 9 units up D 9 units to the left ____ 5. Given the graph of f(x) shown below, what are the coordinates of point A if the transformed graph is represented by ? (1, –4) A 1 2 3 4 5 6 7 8 –1 –2 –3 –4 –5 –6 –7 –8 x 1 2 3 4 5 6 7 8 –1 –2 –3 –4 –5 –6 –7 –8 y A C B D ____ 6. Given the graph of f(x) shown below, what are the coordinates of point A if the transformed graph is represented by ? (5, –1) A 1 2 3 4 5 6 7 8 –1 –2 –3 –4 –5 –6 –7 –8 x 1 2 3 4 5 6 7 8 –1 –2 –3 –4 –5 –6 –7 –8 y A C B D ____ 7. The function represents a transformation that can best be described as A a reflection in the x-axis C a reflection in the y-axis B a reflection in the x-axis and the y-axis D a reflection in the line y = x ____ 8. The two functions in the graph shown are reflections of each other. Select the type of reflection(s). 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y A a reflection in the line y = x C a reflection in the y-axis B a reflection in the x-axis and the y-axis D a reflection in the x-axis ____ 9. When a > 0, the function has what relationship to the base function ? A f(x) is stretched vertically by a factor of |a| and reflected in the x-axis B f(x) is stretched horizontally by a factor of 1/|a| C f(x) is stretched vertically by a factor of |a| D f(x) is stretched horizontally by a factor of 1/|a| and reflected in the y-axis ____ 10. When b > 0, the function has what relationship to the base function ? A f(x) is stretched vertically by a factor of |b| and reflected in the x-axis B f(x) is stretched vertically by a factor of |b| C f(x) is stretched horizontally by a factor of 1/|b| and reflected in the y-axis D f(x) is stretched horizontally by a factor of 1/|b| ____ 11. Which of the graphs shown below represents the base function and the stretched function g(x) = ( 3 4 x) 2 ? A 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y C 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y B 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y D 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y ____ 12. Compared to the graph of the base function , the graph of the function is translated A 9 units to the left and 4 units down C 9 units to the right and 4 units up B 4 units to the left and 9 units down D 4 units to the right and 9 units up ____ 13. Which is the graph of the function ? A 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y C 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y B 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y D 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y ____ 14. Which choice best describes the combination of transformations that must be applied to the graph of to obtain the graph of ? A a horizontal stretch by a factor of 2 and a horizontal translation of 2 units to the left B a horizontal stretch by a factor of 1 2 and a horizontal translation of 4 units to the right C a horizontal stretch by a factor of 1 2 and a horizontal translation of 2 units to the right D a horizontal stretch by a factor of –2 and a horizontal translation of 2 units to the right ____ 15. In the following graph, which transformations must be applied to the blue curve to obtain the red curve? 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y A a reflection in the x-axis, a vertical translation of 4 units up, and a horizontal translation of 3 units to the right B a reflection in the x-axis, a vertical translation of 3 units up, and a horizontal translation of 4 units to the right C a reflection in the x-axis, a vertical translation of 3 units down, and a horizontal translation of 4 units to the right D a reflection in the x-axis, a vertical translation of 4 units up, and a horizontal translation of 3 units to the left ____ 16. In the graph shown, which transformations must be applied to the blue curve to obtain the red curve? 1 2 3 4 5 6 7 8 –1 –2 –3 –4 –5 –6 –7 –8 x 1 2 3 4 5 6 7 8 –1 –2 –3 –4 –5 –6 –7 –8 y A a reflection in the x-axis and a translation of 5 units down B a reflection in the y-axis and a translation of 5 units up C a reflection in the x-axis and a translation of 5 units up D a reflection in the y-axis and a translation of 5 units down ____ 17. Which of the following graphs represents the graph of the function transformed to ? A 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y C 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y B 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y D 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y ____ 18. When the function is transformed to , the graph looks like A 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y C 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y B 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y D 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y ____ 19. Which of the following functions is the correct inverse for the function ? A = 1 3 x÷ 5 3 C = ÷ 1 3 x÷ 5 3 B = ÷ 1 3 x+ 5 3 D = 1 3 x+ 5 3 ____ 20. Which of the following functions is the correct inverse for the function f(x) = ÷ 9 2 ? A = ÷ 2 9 x+ 4 3 C = ÷ 2 9 x÷ 4 3 B = 9 2 x+ 4 3 D = 9 2 x÷ 4 3 ____ 21. Which of the following functions is the correct inverse for the function , {x | x > 0, x e R}? A = C = B = D = ____ 22. Which of the following relations is the correct inverse for the function ? A = 3 C = ÷3 B = 7 D = –7 ____ 23. Which graph represents the inverse of the graph shown? 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y A 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y C 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y B 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y D 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y ____ 24. Which graph represents the inverse of the function shown? 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y A 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y C 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y B 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y D 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y ____ 25. The equation of the inverse of is A C B D ____ 26. Compared to the graph of the base function , the graph of the function is translated A 2 units up C 2 units to the left B 2 units to the right D 2 units down ____ 27. Compared to the graph of the base function , the graph of the function is translated A 5 units down C 5 units right B 5 units left D 5 units up ____ 28. Compared to the graph of the base function , the graph of the function is A compressed by a factor of 1 5 and not reflected B stretched by a factor of 5 and reflected in the y-axis C compressed by a factor of 1 5 and reflected in the y-axis D stretched by a factor of 5 and not reflected ____ 29. When b < 0, the function has what relationship to the base function ? A f(x) is stretched horizontally by a factor of 1/|b| B f(x) is stretched horizontally by a factor of 1/|b| and reflected in the y-axis C f(x) is stretched vertically by a factor of |b| D f(x) is stretched vertically by a factor of |b| and reflected in the x-axis ____ 30. Which of the graphs shown below represents the base function (in black) and the stretched function g(x) = ÷ 3 2 (in red)? A 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y C 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y B 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y D 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y ____ 31. Given the function with a domain of and a range of , which of the following best describes the vertical and horizontal translations with respect to the graph of ? A 5 units to the left and 8 units up C 8 units to the left and 5 units up B 8 units to the left and 5 units down D 5 units to the left and 8 units down ____ 32. Compared to the graph of the base function , the graph of the function is translated A 4 units to the right and 8 units up C 8 units to the left and 4 units down B 4 units to the left and 8 units down D 8 units to the right and 4 units up ____ 33. Given the graph of f(x) shown below, what are the coordinates of point A' if the equation of the transformed function is ? (4, 2) A 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y A C B D ____ 34. What is the equation of the radical function shown in the graph below? 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y A C B D ____ 35. In the following graph, what transformations must be applied to the blue curve to obtain the red curve? 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y A a reflection in the x-axis, a vertical translation 5 units up, and a horizontal translation 3 units to the right B a reflection in the x-axis, a vertical translation 5 units down, and a horizontal translation 3 units to the right C a reflection in the x-axis, a vertical translation 3 units up, and a horizontal translation 5 units to the left D a reflection in the x-axis, a vertical translation 3 units up, and a horizontal translation 5 units to the right ____ 36. The two functions in the graph shown are reflections of each other. Select the type of reflection(s). 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y A a reflection in the y-axis C a reflection in the line y = x B a reflection in the x-axis and the y-axis D a reflection in the x-axis ____ 37. Which point on the graph does not exist on the graph of ? A C B D ____ 38. Which of the graphs shown below represents the base function (in black) and the stretched function g(x) = (in red)? A 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y C 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y B 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y D 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y ____ 39. Which is the graph of the square root of the function ? A 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y C 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y B 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y D 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y ____ 40. Which graph represents the square root of the function shown in the graph? 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y A 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y C 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y B 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y D 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y ____ 41. Which of the following functions is the correct inverse for the function , {x | x > 0, x e R}? A = C B = D = ____ 42. Which graph represents the square root of the graph shown? 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y A 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y C 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y B 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y D 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y ____ 43. Which graph represents the square root of the graph shown? 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y A 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y C 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y B 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y D 2 4 6 –2 –4 –6 x 2 4 6 –2 –4 –6 y ____ 44. Which graph shows the graphical solution to the radical equation ? A (–1, 0) 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y C (1, 0) 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y B (1, 0) 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y D (–1, 0) 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y ____ 45. Which graph shows the graphical solution to the radical equation ? A (6, 0) 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y C (–7, 0) 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y B (–6, 0) 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y D (6, 0) 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y ____ 46. Which graph shows the solution to the radical equation ? A (–2, 3) 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y C (9, 4) 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y B (–2, –3) 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y D (6, –1) 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y ____ 47. What is the solution to the radical equation ? A 18 C –18 B 36 D 0 ____ 48. What is the solution to the radical equation ? A –4 C 4 B 12 D 128 ____ 49. When solving the equation , which values must be checked for extraneous roots? A –4 and 7 C 8 and 6 B 7 and –7 D –4 and –7 ____ 50. Which graph represents an odd-degree polynomial function with two x-intercepts? A 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y C 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y B 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y D 2 4 6 8 –2 –4 –6 –8 x 2 4 6 8 –2 –4 –6 –8 y ____ 51. How many x-intercepts are possible for the polynomial function ? A 4 C 3 B 5 D 1 ____ 52. What is the restriction on x if is divided by ? A x 8 C x –1 B x –5 D x 2 ____ 53. If is divided by , then the restriction on x is A 6 5 C ÷ 5 6 B 5 6 D ÷ 6 5 ____ 54. If is divided by to give a quotient of and a remainder of –952, then which of the following is true? A = –952 B = – 952 C = 952 D = + 952 ____ 55. If is divided by , what is the remainder? A –160 C 160 B –320 D 320 ____ 56. When is divided by , the remainder is A x 2 + x + 12 5 C B P(–2) = –34 D ____ 57. For a polynomial P(x), if = 0, then which of the following must be a factor of P(x)? A C B D ____ 58. A factor of is A C B x – 5 D x – 8 ____ 59. Which of the following binomials is a factor of ? A C B D ____ 60. Which set of values for x should be tested to determine the possible zeros of ? A ±5, ±7, and ±35 C 1, 5, 7, 12, and 35 B ±1, ±5, ±7, and ±35 D 1, 5, 7, and 35 ____ 61. Which of the following is the fully factored form of ? A C B D ____ 62. Which of the following is the fully factored form of ? A C B D ____ 63. One root of the equation is A –3 C 9 B 3 D –5 ____ 64. What is the maximum number of real distinct roots that a cubic equation can have? A infinitely many C 3 B 4 D 2 ____ 65. Based on the graph of , what are the real roots of ? 2 4 6 8 –2 –4 –6 –8 x 40 80 120 160 –40 –80 –120 –160 y A –6, –2, 2, 4 C there are no real roots B 6, 2, –2, –4 D impossible to determine ____ 66. Which of the following graphs of polynomial functions corresponds to a cubic polynomial equation with roots 4, 1, and 3? A 2 4 6 –2 –4 –6 x 20 40 60 –20 –40 –60 y C 2 4 6 –2 –4 –6 x 20 40 60 –20 –40 –60 y B 2 4 6 –2 –4 –6 x 20 40 60 –20 –40 –60 y D 10 20 30 –10 –20 –30 x 20 40 60 –20 –40 –60 y ____ 67. Which of the following graphs of polynomial functions corresponds to a polynomial equation with zeros –6 (multiplicity of 2) and –1 (multiplicity of 2)? A 2 4 6 –2 –4 –6 x 20 40 60 –20 –40 –60 y C 2 4 6 –2 –4 –6 x 20 40 60 –20 –40 –60 y B 2 4 6 –2 –4 –6 x 20 40 60 –20 –40 –60 y D 2 4 6 –2 –4 –6 x 20 40 60 –20 –40 –60 y ____ 68. Given the function , what are the parameters of the transformed function y = 1 5 and what is the effect of each parameter on the graph of the original function? A a = 1 5 , vertical stretch about the x-axis by a factor of 1 5 h = –8, horizontal translation 8 units right k = 2, vertical translation 2 units down B a = 5, vertical stretch about the x-axis by a factor of 5 h = 2, horizontal translation 2 units left k = –8, vertical translation 8 units right C a = 1 5 , vertical stretch about the x-axis by a factor of 1 5 h = 2, horizontal translation 2 units right k = –8, vertical translation 8 units down D a = 5, vertical stretch about the x-axis by a factor of 5 h = 2, horizontal translation 2 units right k = –8, vertical translation 8 units down ____ 69. The exact radian measure for an angle of 255° is A 17 12 C 17 6 B 12 17 D 6 17 ____ 70. Which of the following angles, in degrees, is coterminal with, but not equal to, 6 5 radians? A 396° C 486° B 576° D 216° ____ 71. Determine the arc length of a circle with radius 5.5 cm if it is subtended by a central angle of 5 2 radians. Round your answer to one decimal place. A 1.4 cm C 4.4 cm B 43.2 cm D 6.9 cm ____ 72. Which graph represents an angle in standard position with a measure of 5 8 t rad? A x y C x y B x y D x y ____ 73. Determine the measure of the angle in standard position shown on the graph below. Round your answer to the nearest tenth of a degree. (1, 3) x y A 161.6° C 71.6° B 341.6° D 251.6° ____ 74. John cuts a slice from a circular ice cream cake with a diameter of 24 cm. His slice is in the shape of a sector with an arc length of 7 cm. What is the measure of the central angle of the slice, in radians? Round your answer to two decimal places, if necessary. A 1.71 rad C 0.29 rad B 3.43 rad D 0.58 rad ____ 75. The coordinates of the point that lies at the intersection of the terminal arm and the unit circle at an angle of 110° are A (0.94, –0.34) C (–0.34, 0.94) B (–0.34, –2.75) D (–2.75, 0.94) ____ 76. Identify the point on the unit circle corresponding to an angle of 300° in standard position. A ( , ) C ( , ) B ( , ) D ( , ) ____ 77. Which point on the unit circle corresponds to tan u = ? A ( , ) C ( , ) B ( , ) D ( , ) ____ 78. Identify a measure for the central angle u in the interval such that point ( , ) is on the terminal arm. A C B D ____ 79. Which is a possible value of u, to the nearest hundredth of a radian, when cos u = –0.58? A –2.19 C 2.19 B –0.62 D 0.84 ____ 80. If the angle u is –5000° in standard position, it can be described as having made A 13 8 9 rotations C 27 7 9 rotations B ÷13 8 9 rotations D ÷27 7 9 rotations ____ 81. If the angle u is 1600° in standard position, in which quadrant does it terminate? A quadrant III C quadrant II B quadrant IV D quadrant I ____ 82. A ball is riding the waves at a beach. The ball’s up and down motion with the waves can be described using the formula , where h is the height, in metres, above the flat surface of the water and t is the time, in seconds. What is the height of the ball, to the nearest hundredth of a metre, after t = 17 s? A –0.87 m C –1.99 m B –2.66 m D 1.99 m ____ 83. A tricycle has a front wheel that is 30 cm in diameter and two rear wheels that are each 12 cm in diameter. If the front wheel rotates through a angle of 32°, through how many degrees does each rear wheel rotate, to the nearest tenth of a degree? A 32.0° C 80.0· B 40.0· D 160.0· ____ 84. The point P(0.391, 0.921) is the point of intersection of a unit circle and the terminal arm of an angle u in standard position. What is the equation of the line passing through the centre of the circle and the point P? Round the slope to two decimal places. A C B D ____ 85. Giai got an answer of 3.86 when she was calculating the value of a trigonometric function. Assuming Giai did her calculation correctly, which of the following was she calculating? A tan 1 12 t C csc 1 12 t B sec 7 12 t D cot 1 12 t ____ 86. Which function, where x is in radians, is represented by the graph shown below? 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 –1 –2 –3 y A C B D ____ 87. The range (in radians) of the graph of is A C B D ____ 88. The period (in degrees) of the graph of is A C B D ____ 89. The amplitude and period (in degrees) of are A amplitude = 1 5 period = C amplitude = ÷ 1 5 period = B amplitude = 2 period = D amplitude = –2 period = ____ 90. Which graph represents the function y = 3 5 sin (÷u), where u is in radians? A 1 2 3 4 5 –1 –2 –3 –4 –5 ø 1 2 3 4 5 –1 –2 –3 –4 –5 y C 1 2 3 4 5 –1 –2 –3 –4 –5 ø 1 2 3 4 5 –1 –2 –3 –4 –5 y B 1 2 3 4 5 –1 –2 –3 –4 –5 ø 1 2 3 4 5 –1 –2 –3 –4 –5 y D 1 2 3 4 5 –1 –2 –3 –4 –5 ø 1 2 3 4 5 –1 –2 –3 –4 –5 y ____ 91. Which graph represents the function y = 3 4 cos(÷ 4 3 x), where x is in degrees? A 180 360 540 –180 –360 –540 –720 x 1 2 3 4 5 –1 –2 –3 –4 –5 y C 180 360 540 –180 –360 –540 –720 x 1 2 3 4 5 –1 –2 –3 –4 –5 y B 180 360 540 –180 –360 –540 –720 x 1 2 3 4 5 –1 –2 –3 –4 –5 y D 180 360 540 –180 –360 –540 –720 x 1 2 3 4 5 –1 –2 –3 –4 –5 y ____ 92. The graph of can be obtained by translating the graph of A units to the right C units to the right B units to the right D units to the right ____ 93. What is the amplitude of the sinusoidal function ? A C –5 B –8 D 7 ____ 94. What is the period of the sinusoidal function ? A 1 8 t C 1 4 t B 4t D 1 2 t ____ 95. Which graph represents the sinusoidal function ? A 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y C 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y B 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y D 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y ____ 96. Which graph represents the sinusoidal function ? A 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y C 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y B 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y D 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y ____ 97. Which of the following is not an asymptote of the function ? A x = ÷ 7 2 t C x = ÷ 5 2 t B x = ÷ 9 2 t D ____ 98. Which function has zeros only at ? A y = tan(u + t) C y = tan(u ÷ t) B D y = tan(u + t) ____ 99. Given the trigonometric function , which is the x-coordinate at which the function is undefined? A 9 2 t C ÷ 1 3 t B ÷ 7 6 t D 3 4 t ____ 100. Given the trigonometric function , find the value of the y-coordinate of the point with x-coordinate – 1200°. A C B D ____ 101. What are the solutions for 1 2 = 0 in the interval ? A C x = 90° and 270° B x = 30° and 210° D x = 60° and 240° and 45° ____ 102. What are the solutions for 1 2 = 0 in the interval ? A x = 90° and 270° C x = 60° and 240° and 45° B D x = 30° and 210° Use the following information to answer the questions. The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function , where t is the time, in seconds. ____ 103. What is the radius of the Ferris wheel? A 9 m C 19 m B 18 m D 36 m ____ 104. How long does it take for the wheel to revolve once? A s C 160 s B 80 s D s ____ 105. What is the minimum height of a car? A 19 m C 160 m B 9 m D 80 m ____ 106. What is the maximum height of a car? A 19 m C 160 m B 80 m D 31 m Use the following information to answer the questions. The height, h, in centimetres, of a piston moving up and down in an engine cylinder can be modelled by the function , where t is the time, in seconds. ____ 107. What is the piston’s minimum height? A 14 cm C 0 cm B –14 cm D 7 cm ____ 108. What is the period? A 7 40 s C 1 40 s B 8 s D 1 14 s ____ 109. Solve to three decimal places on the interval . A x = 0.340, x = 5.943 C x = 1.911, x = 1.231 B x = 1.231, x = 5.052 D x = 1.911, x = 4.373 ____ 110. Which equation is a reciprocal identity? A C B D ____ 111. Which equation is a Pythagorean identity? A C B D ____ 112. Which of the following sets is the set of reciprocal trigonometric ratios? A csc , sec , and cot C sin , csc , and cot B sec , cos , and cot D csc , sec , and tan ____ 113. Which expression is equivalent to ? A C B D ____ 114. Which expression is equivalent to ? A 1 C B D ____ 115. Which expression is equivalent to ? A C 1 B D ____ 116. Which expression is equivalent to ? A C B D ____ 117. Which expression is equivalent to ? A C B D ____ 118. Which expression is equivalent to ? A C B D ____ 119. Determine the exact value of . A C B D ____ 120. Simplify . A 0 C ÷1 B undefined D 1 ____ 121. Simplify . Round your answer to the nearest hundredth. A 0.47 C –0.75 B –1.15 D 0.42 ____ 122. Simplify . A ÷1 C 0 B 1 D undefined ____ 123. Which expression is equivalent to ? A C B D ____ 124. is equivalent to A C B D ____ 125. What is the solution to the equation over the domain ? A C B D ____ 126. What is the general solution, in degress, to the equation ? A . where C , where B , where D , where ____ 127. What is the general solution, in radians, to the equation ? A where C where B no solution D where ____ 128. Which set of properties does the function have? A no x-intercept, no y-intercept C no x-intercept, y-intercept is 1 B x-intercept is 1, no y-intercept D x-intercept is 0, y-intercept is 0 ____ 129. Which choice best describes the function ? A both increasing and decreasing C increasing B decreasing D neither increasing nor decreasing ____ 130. Which set of properties is correct for the function ? A domain , range C domain , range B domain , range D domain , range ____ 131. Which exponential equation matches the graph shown? (0, 1) (–1, 8) 2 4 6 8 10 12 –2 –4 –6 –8 –10 –12 x 2 4 6 8 10 12 14 16 –2 –4 –6 –8 y A C B D ____ 132. A radioactive sample with an initial mass of 1 mg has a half-life of 9 days. What is the equation that models the exponential decay, A, for time, t, in 9-day intervals? A C B D ____ 133. A colony of ants has an initial population of 750 and triples every day. Which function can be used to model the ant population, p, after t days? A C B D ____ 134. An investment of $150 is placed into an account that earns interest, compounded annually, at a rate of 5% for 12 years. The amount, A, in the account can be modelled by the function , where t is the time, in years. What is the domain of this function? A C B D ____ 135. To the nearest year, how long would an investment need to be left in the bank at 5%, compounded annually, for the investment to triple? A 15 years C 28 years B 26 years D 23 years ____ 136. Jennifer deposited some money into an account that pays 7% per year, compounded annually. Today her balance is $300. How much was in the account 10 years ago, to the nearest cent? [Hint: Use .] A $163.18 C $42.86 B $30.00 D $152.50 ____ 137. Mohamed purchased a car for $16 000. It depreciates by 20% of its current value every year. How much will the car be worth 8 years after it is purchased? A $80 000 C $2684.35 B $2000 D $68 797.07 ____ 138. The equation can also be written as A C B D ____ 139. For the exponential function , which of the following statements is not true? A The graph of the function is increasing. B The graph of the function is decreasing. C The domain is the set of real numbers. D The range is the set of real numbers greater than zero. ____ 140. Which of the following transformations maps the function onto the function ? A a horizontal shift of 5 units to the left and a vertical shift of 7 units up B a horizontal shift of 5 units to the right and a vertical shift of 7 units down C a horizontal shift of 5 units to the right and a vertical shift of 7 units up D a horizontal shift of 5 units to the left and a vertical shift of 7 units down ____ 141. Which function results when the graph of is translated 2 units down? A C B D ____ 142. Which function is represented by the following graph? (–10, –5) 1 2 3 4 5 6 7 8 9 10 11 –1 –2 –3 –4 –5 –6 –7 –8 –9 –10 –11 x 1 2 3 4 5 6 7 8 9 10 11 –1 –2 –3 –4 –5 –6 –7 –8 –9 –10 –11 y A C B D ____ 143. Which function results when the graph of the function is reflected in the y-axis, compressed vertically by a factor of , and shifted 2 units down? A C B D ____ 144. What is the exponential equation for the function that results from the transformations listed being applied to the base function ? • a reflection in the y-axis • a vertical stretch by a factor of 6 • a horizontal stretch by a factor of 7 A C B D ____ 145. Which graph represents the function ? A 2 4 6 –2 –4 –6 x 4 8 12 –4 –8 –12 y C 2 4 6 –2 –4 –6 x 4 8 12 –4 –8 –12 y B 2 4 6 –2 –4 –6 x 4 8 12 –4 –8 –12 y D 2 4 6 –2 –4 –6 x 4 8 12 –4 –8 –12 y ____ 146. Which equation can be used to model the given information, where the population has been rounded to the nearest whole number? Year (x) Population (y) 0 100 1 104 2 108 3 112 4 117 5 122 A C B D ____ 147. The population of a bacterial culture triples every hour. When the scientist observed the culture, it had already been growing for some time. She developed the equation for the population, P, after t hours as , based on t = 0 representing the time she started her measurements. How many bacterial cells were there 2 h before she started measuring? A 78 C 350 B 26 D 233 ____ 148. Solve for x, to one decimal place. A 1466.6 C 36 667.0 B 11.1 D 5.5 ____ 149. Solve for x. A 0.3 C 6 B 7 D 3.0 ____ 150. The half-life of a radioactive element can be modelled by , where is the initial mass of the element; is the elapsed time, in hours; and is the mass that remains after time . The half-life of the element is A 11 h C 18 h B 10 h D 9 h ____ 151. Which graph represents the inverse of ? A 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y C 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y B 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y D 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y ____ 152. Another way of writing is A C B D ____ 153. Which of the following represents ? A C B D ____ 154. Another way of writing is A C B D ____ 155. Evaluate . A 4096 C 0.13 B 5.33 D 8 ____ 156. The range of the function is A C B D ____ 157. Compared to the graph of the base function , the graph of the function is translated A 4 units to the left C 4 units up B 4 units down D 4 units to the right ____ 158. Which function represents a vertical translation of 7 units down, a horizontal translation of 8 units right, a horizontal stretch by a factor of , no reflection in the y-axis, a vertical stretch by a factor of 6, and no reflection in the x-axis, when compared to the base function . A C B D ____ 159. Which graph represents the function ? A 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y C 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y B 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y D 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y ____ 160. What is the equation for the asymptote of the function ? A x = 2 C x = –5 B x = –3 D x = –2 ____ 161. Which graph represents the function ? A 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y C 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y B 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y D 2 4 6 8 10 –2 –4 –6 –8 –10 x 2 4 6 8 10 –2 –4 –6 –8 –10 y ____ 162. Which graph represents the function ? A 3 6 9 12 15 –3 –6 –9 –12 –15 x 1 2 3 4 5 –1 –2 –3 –4 –5 y C 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y B 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y D 3 6 9 12 15 –3 –6 –9 –12 –15 x 1 2 3 4 5 –1 –2 –3 –4 –5 y ____ 163. If , , and , an algebraic expression in terms of s, v, and z for is A v ÷ 2s + 2z C v ÷ 2(s ÷ z) B v ÷ 2(s + z) D v ÷ 2s + z ____ 164. Solve . A x = 6 C x = 2 3 B x = 3 2 D x = 729 ____ 165. A graduate student determines that the relationship between the length, s, in metres, of the skull and the body mass, m, in kilograms, of a particular species can be expressed using the equation . Determine the body mass of an animal with a skull size of 0.56 m. Round your answer to the nearest kilogram. A 547 kg C 343 kg B 376 kg D 313 kg ____ 166. Solve to the nearest hundredth. A –6.43 C 1.15 B 3.46 D –2.14 ____ 167. The eye size of many vertebrates is related to body mass by the logarithmic equation , where E is the eye axial length, in millimetres, and m is the body mass, in kilograms. Predict the mass of a vertebrate with an eye axial length of 43 mm. Round your answer to the nearest hundredth of a kilogram. A 2.66 C 1242.98 B 868.60 D 1.32 ____ 168. Which of the reciprocal functions has a vertical asymptote with equation ? A C B D ____ 169. What is true about the behaviour of the function as ÷ 5 4 (right to left)? A ÷· C B +· D f(x) is undefined ____ 170. What is the x-intercept of ? A There is no x-intercept. C ÷2 B ÷ 1 2 D 0 ____ 171. Which graph represents the function ? A 4 8 12 16 20 –4 –8 –12 –16 –20 x 4 8 12 16 20 –4 –8 –12 –16 –20 y C 4 8 12 16 20 –4 –8 –12 –16 –20 x 4 8 12 16 20 –4 –8 –12 –16 –20 y B 4 8 12 16 20 –4 –8 –12 –16 –20 x 4 8 12 16 20 –4 –8 –12 –16 –20 y D 4 8 12 16 20 –4 –8 –12 –16 –20 x 4 8 12 16 20 –4 –8 –12 –16 –20 y ____ 172. The rational function is represented by which graph? A 4 8 12 16 20 –4 –8 –12 –16 –20 x 4 8 12 16 20 –4 –8 –12 –16 –20 y C 4 8 12 16 20 –4 –8 –12 –16 –20 x 4 8 12 16 20 –4 –8 –12 –16 –20 y B 4 8 12 16 20 –4 –8 –12 –16 –20 x 4 8 12 16 20 –4 –8 –12 –16 –20 y D 4 8 12 16 20 –4 –8 –12 –16 –20 x 4 8 12 16 20 –4 –8 –12 –16 –20 y ____ 173. Which function represents the graph shown below? 2 4 6 8 10 12 14 16 18 –2 –4 –6 –8 –10 –12 –14 –16 –18 x 2 4 6 8 10 12 14 16 18 –2 –4 –6 –8 –10 –12 –14 –16 –18 y A C B D ____ 174. Which of the following functions has a slant asymptote when graphed? A C B D all of the above ____ 175. Which function has vertical asymptotes with equations and ÷ 6 7 ? A C B D ____ 176. Which function has a point of discontinuity at ? A C B D ____ 177. Which graph represents ? A 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y C 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y B 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y D 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y ____ 178. Which function has a y-intercept of ÷ 8 27 ? A C B D all of the above ____ 179. Which function has a horizontal asymptote with equation 2 7 ? A C B D ____ 180. Which function has an x-intercept of 1 3 ? A C B D ____ 181. What is the equation for the horizontal asymptote of the graph of the function shown? (–6, 2) 1 2 3 4 5 6 7 8 9 –1 –2 –3 –4 –5 –6 –7 –8 –9 x 1 2 3 4 5 6 7 8 9 –1 –2 –3 –4 –5 –6 –7 –8 –9 y A C B D ____ 182. Which graph of a rational function has the following characteristics? • a vertical asymptote with equation • a horizontal asymptote with equation • a point of discontinuity at A 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y C 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y B 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y D 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y ____ 183. Which rational function has the following characteristics? • a vertical asymptote with equation • a horizontal asymptote with equation • a point of discontinuity at A C B D ____ 184. Which function has a graph in the shape of a parabola? A C B D none of the above ____ 185. Solve the equation . A x = ÷7 C x = –6 B x = –8 D x = ÷ 1 7 ____ 186. Solve the equation . A x = 18 5 C x = ÷ 18 5 B x = 3 D x = 4 ____ 187. Solve the equation . A x = –3 C x = ÷ 91 12 B x = 91 12 D x = 8, x = –9 ____ 188. Solve the equation . A C no solution B x = 2, x = 9 D 3 2 ____ 189. What are the x-intercepts of the graph of ? A –7, –5 C 7, 5 B 2, –9 D –2, 9 ____ 190. Solve the equation graphically. A no solution C 0 B D ÷8 ____ 191. Given the functions and , determine the equation for the combined function . A C B D ____ 192. Given the functions and , determine the equation for the combined function . A C B D 4 For the following question(s), assume that x is in radians, if applicable. ____ 193. Given the functions and , the graph of the combined function most likely resembles A 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y C 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y B 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y D 1 2 3 4 5 6 7 8 9 x 1 2 3 4 5 6 7 8 9 10 y ____ 194. Given the functions and , a graph of the combined function most likely resembles A x x C x x B x x D x x ____ 195. Given the functions and , what is the range of the composite function ? A C B cannot be determined D ____ 196. Given the functions and , what is the value of ? A C 2 B 3 D 1 ____ 197. Given the functions and , the graph of the combined function most likely resembles A x y C x y B x y D x y ____ 198. Given the functions and , a graph of the combined function most likely resembles A x y C x y B x y D x y ____ 199. An equation for the graph shown is most likely x y A C B D ____ 200. An equation for the graph shown is most likely x y A C B D ____ 201. Given the functions and , determine the domain of the combined function . A C B D ____ 202. Given the functions and , what is the domain of the composite function ? A C B D cannot be determined ____ 203. Given the functions and , determine the range of the combined function . A C B D ____ 204. Given the functions and , what is the simplified form of ? A C B D ____ 205. If and , what are the restrictions on the domain for the combined function ? A C B D 3 ____ 206. If and , what is the simplified combined function ? A C B D ____ 207. Given and , determine . A C B D ____ 208. Given the function , determine the value of . A –8 C 11 B 16 D –4 ____ 209. Given the functions and ÷ 1 3 , which of the following is most likely the graph of ? A x y C x y B x y D x y ____ 210. Given the functions and , which of the following is most likely the graph of ? A x y C x y B x y D x y ____ 211. What is the value of 6!? A 46 656 C 21 B 720 D 36 ____ 212. Evaluate . A 32 432 400 C 6435 B 163 459 296 000 D 259 459 200 ____ 213. Solve for the variable: A C 60 B D 7 ____ 214. Solve for the variable: = 252 A 15 C 6 B D ____ 215. An orchestra has 2 violinists, 3 cellists, and 4 harpists. Assume that the players of each instrument have to sit together, but they can sit in any position in their own group. In how many ways can the conductor seat the members of the orchestra in a line? A 144 C 24 B 72 D 1728 ____ 216. Evaluate the expression . A 726 485 760 C 2002 B 240 240 D 126 ____ 217. Evaluate the expression . A 2184 C 794 976 B 87 178 291 200 D 239 500 800 ____ 218. Solve for n in the expression . A 8 C 9 B 16 D 8 ____ 219. Rachael has a digital music player that holds 800 songs. She has 1500 songs in her music library. She decides that her 50 favourite songs must be on the player. Which expression can be used to calculate the number of ways can she load songs on to the MP3 player so that it is full? A C B D ____ 220. Jenni and Hari go to a local Chinese restaurant for dim sum. If there are 20 items on the menu, and Jenni orders 7 items and Hari orders 11 items, which expression represents the total number of choices between them? A C B D ____ 221. Determine the coefficient, a, for the term of the binomial expansion of . A 35 C 792 B 60 D 3 991 680 ____ 222. For which of the following terms is a = 55 in the expansion of (x + y) 11 ? A C B D ____ 223. Prom’s friend gives him a row of Pascal’s triangle and asks which row it comes from. Prom adds the numbers and obtains a sum of 65 536. Which row do the numbers come from? A 34 C 17 B 18 D 16 ____ 224. How many terms are there in the expansion of ? A 6 C 12 B 13 D 11 ____ 225. A scout troop is arranged in a circle for an opening ceremony with its leaders. Assuming there are 7 troop leaders who stand together for the ceremony and 39 scouts in total, including the troop leaders, in how many unique ways can they be arranged around the circle? A C B D ____ 226. Suppose that 10 non-collinear points are plotted on a plane. Which expression represents the number of triangles that can be formed using these points? A C B D ____ 227. While at the dollar store, Peter finds 19 items at $1 each that he wants, but he only has $3. The number of ways he could select which items to buy is A C B D Final Exam Review Answer Section MULTIPLE CHOICE 1. ANS: C PTS: 1 DIF: Easy OBJ: Section 1.1 NAT: RF2 TOP: Horizontal and Vertical Translations KEY: vertical translation 2. ANS: C PTS: 1 DIF: Average OBJ: Section 1.1 NAT: RF2 TOP: Horizontal and Vertical Translations KEY: vertical translation 3. ANS: A PTS: 1 DIF: Easy OBJ: Section 1.1 NAT: RF2 TOP: Horizontal and Vertical Translations KEY: horizontal translation 4. ANS: D PTS: 1 DIF: Easy OBJ: Section 1.1 NAT: RF2 TOP: Horizontal and Vertical Translations KEY: horizontal translation 5. ANS: A PTS: 1 DIF: Average OBJ: Section 1.1 NAT: RF2 TOP: Horizontal and Vertical Translations KEY: horizontal translation 6. ANS: A PTS: 1 DIF: Average OBJ: Section 1.1 NAT: RF2 TOP: Horizontal and Vertical Translations KEY: vertical translation 7. ANS: A PTS: 1 DIF: Easy OBJ: Section 1.2 NAT: RF5 TOP: Reflections and Stretches KEY: reflection 8. ANS: D PTS: 1 DIF: Average OBJ: Section 1.2 NAT: RF5 TOP: Reflections and Stretches KEY: reflection 9. ANS: C PTS: 1 DIF: Easy OBJ: Section 1.2 NAT: RF3 | RF5 TOP: Reflections and Stretches KEY: vertical stretch | reflection 10. ANS: D PTS: 1 DIF: Easy OBJ: Section 1.2 NAT: RF3 | RF5 TOP: Reflections and Stretches KEY: horizontal stretch | reflection 11. ANS: A PTS: 1 DIF: Average OBJ: Section 1.2 NAT: RF3 | RF5 TOP: Reflections and Stretches KEY: graph | horizontal stretch | reflection 12. ANS: D PTS: 1 DIF: Easy OBJ: Section 1.3 NAT: RF4 TOP: Combining Transformations KEY: horizontal translation | vertical translation 13. ANS: C PTS: 1 DIF: Easy OBJ: Section 1.3 NAT: RF4 TOP: Combining Transformations KEY: graph | horizontal translation | vertical translation 14. ANS: C PTS: 1 DIF: Difficult OBJ: Section 1.3 NAT: RF4 TOP: Combining Transformations KEY: horizontal stretch | horizontal translation 15. ANS: A PTS: 1 DIF: Average OBJ: Section 1.3 NAT: RF4 | RF5 TOP: Combining Transformations KEY: graph | horizontal translation | vertical translation | reflection 16. ANS: C PTS: 1 DIF: Average OBJ: Section 1.3 NAT: RF4 TOP: Combining Transformations KEY: graph | vertical translation | reflection 17. ANS: D PTS: 1 DIF: Difficult OBJ: Section 1.3 NAT: RF4 | RF5 TOP: Combining Transformations KEY: graph | vertical translation | horizontal translation | stretch | reflection 18. ANS: C PTS: 1 DIF: Average OBJ: Section 1.3 NAT: RF4 | RF5 TOP: Combining Transformations KEY: graph | vertical translation | horizontal translation | stretch | reflection 19. ANS: A PTS: 1 DIF: Easy OBJ: Section 1.4 NAT: RF6 TOP: Inverse of a Relation KEY: inverse of a function | function notation 20. ANS: A PTS: 1 DIF: Average OBJ: Section 1.4 NAT: RF6 TOP: Inverse of a Relation KEY: inverse of a function | function notation 21. ANS: C PTS: 1 DIF: Average OBJ: Section 1.4 NAT: RF6 TOP: Inverse of a Relation KEY: inverse of a function | function notation 22. ANS: C PTS: 1 DIF: Difficult + OBJ: Section 1.4 NAT: RF6 TOP: Inverse of a Relation KEY: inverse of a function | function notation | completing the square 23. ANS: D PTS: 1 DIF: Average OBJ: Section 1.4 NAT: RF6 TOP: Inverse of a Relation KEY: graph | inverse of a function 24. ANS: D PTS: 1 DIF: Easy OBJ: Section 1.4 NAT: RF6 TOP: Inverse of a Relation KEY: graph | inverse of a function 25. ANS: A PTS: 1 DIF: Easy OBJ: Section 1.4 NAT: RF6 TOP: Inverse of a Relation KEY: inverse of a function | function notation 26. ANS: D PTS: 1 DIF: Easy OBJ: Section 2.1 NAT: RF13 TOP: Radical Functions and Transformations KEY: vertical translation 27. ANS: C PTS: 1 DIF: Easy OBJ: Section 2.1 NAT: RF13 TOP: Radical Functions and Transformations KEY: horizontal translation 28. ANS: A PTS: 1 DIF: Average OBJ: Section 2.1 NAT: RF13 TOP: Radical Functions and Transformations KEY: horizontal stretch 29. ANS: B PTS: 1 DIF: Average OBJ: Section 2.1 NAT: RF13 TOP: Radical Functions and Transformations KEY: horizontal stretch | reflection 30. ANS: B PTS: 1 DIF: Easy OBJ: Section 2.1 NAT: RF13 TOP: Radical Functions and Transformations KEY: graph | vertical stretch | reflection 31. ANS: A PTS: 1 DIF: Average OBJ: Section 2.1 NAT: RF13 TOP: Radical Functions and Transformations KEY: horizontal translation | vertical translation 32. ANS: C PTS: 1 DIF: Average OBJ: Section 2.1 NAT: RF13 TOP: Radical Functions and Transformations KEY: horizontal translation | vertical translation 33. ANS: B PTS: 1 DIF: Easy OBJ: Section 2.1 NAT: RF13 TOP: Radical Functions and Transformations KEY: vertical translation | graph 34. ANS: C PTS: 1 DIF: Difficult OBJ: Section 2.1 NAT: RF13 TOP: Radical Functions and Transformations KEY: horizontal translation | vertical translation | vertical stretch | horizontal stretch | graph | reflection 35. ANS: D PTS: 1 DIF: Average OBJ: Section 2.1 NAT: RF13 TOP: Radical Functions and Transformations KEY: graph | horizontal translation | vertical translation | reflection 36. ANS: A PTS: 1 DIF: Average OBJ: Section 2.1 NAT: RF13 TOP: Radical Functions and Transformations KEY: reflection 37. ANS: C PTS: 1 DIF: Easy OBJ: Section 2.2 NAT: RF13 TOP: Square Root of a Function KEY: domain | range 38. ANS: D PTS: 1 DIF: Average OBJ: Section 2.1 NAT: RF13 TOP: Radical Functions and Transformations KEY: graph | horizontal stretch | reflection 39. ANS: D PTS: 1 DIF: Average OBJ: Section 2.2 NAT: RF13 TOP: Square Root of a Function KEY: graph 40. ANS: B PTS: 1 DIF: Average OBJ: Section 2.2 NAT: RF13 TOP: Square Root of a Function KEY: graph 41. ANS: C PTS: 1 DIF: Easy OBJ: Section 2.1 | Section 2.2 NAT: RF13 TOP: Radical Functions and Transformations | Square Root of a Function KEY: inverse of a radical function 42. ANS: B PTS: 1 DIF: Easy OBJ: Section 2.2 NAT: RF13 TOP: Square Root of a Function KEY: graph | square root of a function 43. ANS: D PTS: 1 DIF: Average OBJ: Section 2.2 NAT: RF13 TOP: Square Root of a Function KEY: graph | square root | of a function 44. ANS: C PTS: 1 DIF: Average OBJ: Section 2.3 NAT: RF13 TOP: Solving Radical Equations Graphically KEY: graphical solution 45. ANS: A PTS: 1 DIF: Average OBJ: Section 2.3 NAT: RF13 TOP: Solving Radical Equations Graphically KEY: graphical solution 46. ANS: B PTS: 1 DIF: Difficult OBJ: Section 2.3 NAT: RF13 TOP: Solving Radical Equations Graphically KEY: graphical solution 47. ANS: D PTS: 1 DIF: Average OBJ: Section 2.3 NAT: RF13 TOP: Solving Radical Equations Graphically KEY: algebraic solution 48. ANS: C PTS: 1 DIF: Difficult OBJ: Section 2.3 NAT: RF13 TOP: Solving Radical Equations Graphically KEY: algebraic solution 49. ANS: D PTS: 1 DIF: Difficult OBJ: Section 2.3 NAT: RF13 TOP: Solving Radical Equations Graphically KEY: algebraic solution | extraneous roots 50. ANS: B PTS: 1 DIF: Average OBJ: Section 3.1 NAT: RF12 TOP: Characteristics of Polynomial Functions KEY: odd-degree | x-intercepts 51. ANS: B PTS: 1 DIF: Easy OBJ: Section 3.1 NAT: RF12 TOP: Characteristics of Polynomial Functions KEY: x-intercepts 52. ANS: D PTS: 1 DIF: Easy OBJ: Section 3.2 NAT: RF11 TOP: The Remainder Theorem KEY: restriction 53. ANS: C PTS: 1 DIF: Average OBJ: Section 3.2 NAT: RF12 TOP: The Remainder Theorem KEY: restriction 54. ANS: B PTS: 1 DIF: Average OBJ: Section 3.2 NAT: RF11 TOP: The Remainder Theorem KEY: quotient | remainder 55. ANS: B PTS: 1 DIF: Average OBJ: Section 3.2 NAT: RF11 TOP: The Remainder Theorem KEY: remainder 56. ANS: D PTS: 1 DIF: Difficult + OBJ: Section 3.2 NAT: RF11 TOP: The Remainder Theorem KEY: remainder theorem | remainder 57. ANS: D PTS: 1 DIF: Easy OBJ: Section 3.3 NAT: RF11 TOP: The Factor Theorem KEY: factor theorem | factor 58. ANS: A PTS: 1 DIF: Average OBJ: Section 3.3 NAT: RF11 TOP: The Factor Theorem KEY: factor theorem | integral zero theorem | factor 59. ANS: D PTS: 1 DIF: Average OBJ: Section 3.3 NAT: RF11 TOP: The Factor Theorem KEY: factor theorem | integral zero theorem | factor 60. ANS: B PTS: 1 DIF: Average OBJ: Section 3.3 NAT: RF11 TOP: The Factor Theorem KEY: integral zero theorem 61. ANS: B PTS: 1 DIF: Easy OBJ: Section 3.3 NAT: RF11 TOP: The Factor Theorem KEY: factored form | factor theorem | factor 62. ANS: D PTS: 1 DIF: Average OBJ: Section 3.3 NAT: RF11 TOP: The Factor Theorem KEY: factored form | factor theorem | factor 63. ANS: A PTS: 1 DIF: Average OBJ: Section 3.4 NAT: RF12 TOP: Equations and Graphs of Polynomial Functions KEY: polynomial equation | roots 64. ANS: C PTS: 1 DIF: Easy OBJ: Section 3.4 NAT: RF12 TOP: Equations and Graphs of Polynomial Functions KEY: polynomial equation | roots 65. ANS: B PTS: 1 DIF: Easy OBJ: Section 3.4 NAT: RF12 TOP: Equations and Graphs of Polynomial Functions KEY: polynomial equation | roots 66. ANS: B PTS: 1 DIF: Average OBJ: Section 3.4 NAT: RF12 TOP: Equations and Graphs of Polynomial Functions KEY: polynomial equation | roots | graph 67. ANS: C PTS: 1 DIF: Average OBJ: Section 3.4 NAT: RF12 TOP: Equations and Graphs of Polynomial Functions KEY: polynomial equation | zeros | graph | multiplicity 68. ANS: C PTS: 1 DIF: Difficult OBJ: Section 3.4 NAT: RF12 TOP: Equations and Graphs of Polynomial Functions KEY: graph | transformations 69. ANS: A PTS: 1 DIF: Easy OBJ: Section 4.1 NAT: T1 TOP: Angles and Angle Measure KEY: radians | degrees 70. ANS: B PTS: 1 DIF: Average OBJ: Section 4.1 NAT: T1 TOP: Angles and Angle Measure KEY: radians | degrees 71. ANS: B PTS: 1 DIF: Easy OBJ: Section 4.1 NAT: T1 TOP: Angles and Angle Measure KEY: radians | degrees 72. ANS: B PTS: 1 DIF: Easy OBJ: Section 4.1 NAT: T1 TOP: Angles and Angle Measure KEY: radians 73. ANS: C PTS: 1 DIF: Easy OBJ: Section 4.1 NAT: T1 TOP: Angles and Angle Measure KEY: radians 74. ANS: D PTS: 1 DIF: Average OBJ: Section 4.1 NAT: T1 TOP: Angles and Angle Measure KEY: angle | radians | arc length 75. ANS: C PTS: 1 DIF: Average OBJ: Section 4.3 NAT: T2 TOP: Trigonometric Ratios KEY: trigonometric ratios | unit circle | terminal arm | angle 76. ANS: C PTS: 1 DIF: Average OBJ: Section 4.3 NAT: T2 TOP: Trigonometric Ratios KEY: exact value | unit circle NOT: tan90 and tan 270 changed to remove undefined 77. ANS: D PTS: 1 DIF: Average OBJ: Section 4.3 NAT: T2 TOP: Trigonometric Ratios KEY: Unit Circle | exact value | tangent ratio 78. ANS: C PTS: 1 DIF: Average OBJ: Section 4.3 NAT: T2 TOP: Trigonometric Ratios KEY: unit circle | exact value | tangent ratio 79. ANS: C PTS: 1 DIF: Average OBJ: Section 4.4 NAT: T4 TOP: Introduction to Trigonometric Equations KEY: reciprocal trigonometric ratios | approximate values 80. ANS: B PTS: 1 DIF: Average OBJ: Section 4.1 NAT: T1 TOP: Angles and Angle Measure KEY: rotations | standard position NOT: Mixed numbers 81. ANS: C PTS: 1 DIF: Average OBJ: Section 4.1 NAT: T1 TOP: Angles and Angle Measure KEY: rotations | standard position 82. ANS: C PTS: 1 DIF: Easy OBJ: Section 4.4 NAT: T4 TOP: Introduction to Trigonometric Equations KEY: trigonometric ratios 83. ANS: C PTS: 1 DIF: Difficult + OBJ: Section 4.1 NAT: T1 TOP: Angles and Angle Measure KEY: arc length | degrees 84. ANS: A PTS: 1 DIF: Difficult OBJ: Section 4.3 NAT: T3 TOP: Trigonometric Ratios KEY: unit circle | trigonometric ratios 85. ANS: C PTS: 1 DIF: Average OBJ: Section 4.3 NAT: T3 TOP: Trigonometric Ratios KEY: trigonometric ratios 86. ANS: A PTS: 1 DIF: Easy OBJ: Section 5.1 NAT: T4 TOP: Graphing Sine and Cosine Functions KEY: graph | sinusoidal function 87. ANS: A PTS: 1 DIF: Easy OBJ: Section 5.1 NAT: T4 TOP: Graphing Sine and Cosine Functions KEY: range | sinusoidal function 88. ANS: C PTS: 1 DIF: Easy OBJ: Section 5.1 NAT: T4 TOP: Graphing Sine and Cosine Functions KEY: period | sinusoidal function 89. ANS: B PTS: 1 DIF: Average OBJ: Section 5.1 NAT: T4 TOP: Graphing Sine and Cosine Functions KEY: amplitude | period | sinusoidal function 90. ANS: C PTS: 1 DIF: Difficult OBJ: Section 5.1 NAT: T4 TOP: Graphing Sine and Cosine Functions KEY: graph | amplitude | period | sinusoidal function 91. ANS: C PTS: 1 DIF: Difficult OBJ: Section 5.1 NAT: T4 TOP: Graphing Sine and Cosine Functions KEY: graph | amplitude | period | sinusoidal function 92. ANS: B PTS: 1 DIF: Easy OBJ: Section 5.2 NAT: T4 TOP: Transformations of Sinusoidal Functions KEY: translation | primary trigonometric function 93. ANS: D PTS: 1 DIF: Average OBJ: Section 5.2 NAT: T4 TOP: Transformations of Sinusoidal Functions KEY: amplitude | sinusoidal function 94. ANS: C PTS: 1 DIF: Average OBJ: Section 5.2 NAT: T4 TOP: Transformations of Sinusoidal Functions KEY: period | sinusoidal function 95. ANS: D PTS: 1 DIF: Average OBJ: Section 5.2 NAT: T4 TOP: Transformations of Sinusoidal Functions KEY: graph | sinusoidal function | transformation 96. ANS: C PTS: 1 DIF: Average OBJ: Section 5.2 NAT: T4 TOP: Transformations of Sinusoidal Functions KEY: graph | sinusoidal function | transformation 97. ANS: D PTS: 1 DIF: Easy OBJ: Section 5.3 NAT: T4 TOP: The Tangent Function KEY: asymptote | tangent function 98. ANS: B PTS: 1 DIF: Difficult + OBJ: Section 5.3 NAT: T4 TOP: The Tangent Function KEY: zeros | transformation 99. ANS: A PTS: 1 DIF: Average OBJ: Section 5.3 NAT: T4 TOP: The Tangent Function KEY: undefined | tangent function 100. ANS: A PTS: 1 DIF: Average OBJ: Section 5.3 NAT: T4 TOP: The Tangent Function KEY: coordinate | tangent function 101. ANS: A PTS: 1 DIF: Difficult + OBJ: Section 5.4 NAT: T4 TOP: Equations and Graphs of Trigonometric Functions KEY: quadratic trigonometric equation 102. ANS: B PTS: 1 DIF: Difficult + OBJ: Section 5.4 NAT: T4 TOP: Equations and Graphs of Trigonometric Functions KEY: quadratic trigonometric equation 103. ANS: B PTS: 1 DIF: Easy OBJ: Section 5.4 NAT: T4 TOP: Equations and Graphs of Trigonometric Functions KEY: amplitude | sinusoidal function 104. ANS: C PTS: 1 DIF: Average OBJ: Section 5.4 NAT: T4 TOP: Equations and Graphs of Trigonometric Functions KEY: period | sinusoidal function 105. ANS: B PTS: 1 DIF: Average OBJ: Section 5.4 NAT: T4 TOP: Equations and Graphs of Trigonometric Functions KEY: minimum | sinusoidal function 106. ANS: D PTS: 1 DIF: Average OBJ: Section 5.4 NAT: T4 TOP: Equations and Graphs of Trigonometric Functions KEY: maximum | sinusoidal function 107. ANS: C PTS: 1 DIF: Easy OBJ: Section 5.4 NAT: T4 TOP: Equations and Graphs of Trigonometric Functions KEY: minimum | sinusoidal function 108. ANS: C PTS: 1 DIF: Easy OBJ: Section 5.4 NAT: T4 TOP: Equations and Graphs of Trigonometric Functions KEY: period | sinusoidal function 109. ANS: D PTS: 1 DIF: Average OBJ: Section 5.4 NAT: T4 TOP: Equations and Graphs of Trigonometric Functions KEY: linear trigonometric equation 110. ANS: B PTS: 1 DIF: Easy OBJ: Section 6.1 NAT: T6 TOP: Reciprocal, Quotient, and Pythagorean Identities KEY: reciprocal identity 111. ANS: A PTS: 1 DIF: Easy OBJ: Section 6.1 NAT: T6 TOP: Reciprocal, Quotient, and Pythagorean Identities KEY: Pythagorean identities 112. ANS: A PTS: 1 DIF: Average OBJ: Section 6.1 NAT: T6 TOP: Reciprocal, Quotient, and Pythagorean Identities KEY: reciprocal trigonometric ratios 113. ANS: C PTS: 1 DIF: Average OBJ: Section 6.1 NAT: T6 TOP: Reciprocal, Quotient, and Pythagorean Identities KEY: trigonometric identity 114. ANS: C PTS: 1 DIF: Average OBJ: Section 6.1 NAT: T6 TOP: Reciprocal, Quotient, and Pythagorean Identities KEY: trigonometric identity 115. ANS: A PTS: 1 DIF: Average OBJ: Section 6.1 NAT: T6 TOP: Reciprocal, Quotient, and Pythagorean Identities KEY: trigonometric identity 116. ANS: B PTS: 1 DIF: Average OBJ: Section 6.1 NAT: T6 TOP: Reciprocal, Quotient, and Pythagorean Identities KEY: trigonometric identity 117. ANS: B PTS: 1 DIF: Average OBJ: Section 6.2 NAT: T6 TOP: Sum, Difference, and Double-Angle Identities KEY: sum identities 118. ANS: C PTS: 1 DIF: Average OBJ: Section 6.2 NAT: T6 TOP: Sum, Difference, and Double-Angle Identities KEY: tangent | sum identities | difference identities 119. ANS: D PTS: 1 DIF: Average OBJ: Section 6.2 NAT: T6 TOP: Sum, Difference, and Double-Angle Identities KEY: difference identities 120. ANS: C PTS: 1 DIF: Easy OBJ: Section 6.2 NAT: T6 TOP: Sum, Difference, and Double-Angle Identities KEY: sum identities | evaluate 121. ANS: D PTS: 1 DIF: Average OBJ: Section 6.2 NAT: T6 TOP: Sum, Difference, and Double-Angle Identities KEY: sum identities | difference identities | evaluate 122. ANS: D PTS: 1 DIF: Easy OBJ: Section 6.2 NAT: T6 TOP: Sum, Difference, and Double-Angle Identities KEY: sum identities | evaluate 123. ANS: D PTS: 1 DIF: Average OBJ: Section 6.2 NAT: T6 TOP: Sum, Difference, and Double-Angle Identities KEY: double-angle identities 124. ANS: A PTS: 1 DIF: Difficult OBJ: Section 6.2 NAT: T6 TOP: Sum, Difference, and Double-Angle Identities KEY: double-angle identities 125. ANS: D PTS: 1 DIF: Average OBJ: Section 6.4 NAT: T6 TOP: Solving Trigonometric Equations Using Identities KEY: reciprocal identity 126. ANS: C PTS: 1 DIF: Difficult OBJ: Section 6.4 NAT: T6 TOP: Solving Trigonometric Equations Using Identities KEY: double-angle identities | general solutions 127. ANS: C PTS: 1 DIF: Difficult OBJ: Section 6.4 NAT: T6 TOP: Solving Trigonometric Equations Using Identities KEY: double-angle identities | general solutions 128. ANS: C PTS: 1 DIF: Easy OBJ: Section 7.1 NAT: RF9 TOP: Characteristics of Exponential Functions KEY: intercepts | exponential function 129. ANS: C PTS: 1 DIF: Easy OBJ: Section 7.1 NAT: RF9 TOP: Characteristics of Exponential Functions KEY: increasing | decreasing 130. ANS: A PTS: 1 DIF: Average OBJ: Section 7.1 NAT: RF9 TOP: Characteristics of Exponential Functions KEY: domain | range 131. ANS: A PTS: 1 DIF: Average OBJ: Section 7.1 NAT: RF9 TOP: Characteristics of Exponential Functions KEY: equation | graph | exponential function 132. ANS: A PTS: 1 DIF: Average OBJ: Section 7.1 NAT: RF9 TOP: Characteristics of Exponential Functions KEY: modelling | exponential decay 133. ANS: D PTS: 1 DIF: Easy OBJ: Section 7.2 NAT: RF9 TOP: Transformations of Exponential Functions KEY: modelling | exponential growth 134. ANS: B PTS: 1 DIF: Easy OBJ: Section 7.2 NAT: RF9 TOP: Transformations of Exponential Functions KEY: range | domain | exponential function 135. ANS: D PTS: 1 DIF: Easy OBJ: Section 7.3 NAT: RF10 TOP: Solving Exponential Equations KEY: compound interest 136. ANS: D PTS: 1 DIF: Average OBJ: Section 7.2 NAT: RF10 TOP: Transformations of Exponential Functions KEY: modelling | exponential decay 137. ANS: C PTS: 1 DIF: Average OBJ: Section 7.2 NAT: RF10 TOP: Transformations of Exponential Functions KEY: modelling | exponential decay 138. ANS: D PTS: 1 DIF: Easy OBJ: Section 7.1 NAT: RF9 TOP: Characteristics of Exponential Functions KEY: exponential function | negative exponents 139. ANS: A PTS: 1 DIF: Easy OBJ: Section 7.1 | Section 7.2 NAT: RF9 TOP: Characteristics of Exponential Functions | Transformations of Exponential Functions KEY: increasing | decreasing | domain | range 140. ANS: A PTS: 1 DIF: Average OBJ: Section 7.2 NAT: RF9 TOP: Transformations of Exponential Functions KEY: transformations of exponential functions 141. ANS: C PTS: 1 DIF: Easy OBJ: Section 7.2 NAT: RF9 TOP: Transformations of Exponential Functions KEY: transformations of exponential functions 142. ANS: C PTS: 1 DIF: Difficult OBJ: Section 7.2 NAT: RF9 TOP: Transformations of Exponential Functions KEY: transformations of exponential functions 143. ANS: A PTS: 1 DIF: Average OBJ: Section 7.2 NAT: RF9 TOP: Transformations of Exponential Functions KEY: transformations of exponential functions 144. ANS: B PTS: 1 DIF: Easy OBJ: Section 7.2 NAT: RF9 TOP: Transformations of Exponential Functions KEY: transformations of exponential functions 145. ANS: A PTS: 1 DIF: Average OBJ: Section 7.2 NAT: RF9 TOP: Transformations of Exponential Functions KEY: graph | transformations of exponential functions 146. ANS: A PTS: 1 DIF: Difficult OBJ: Section 7.1 NAT: RF9 TOP: Characteristics of Exponential Functions KEY: modelling | exponential function 147. ANS: A PTS: 1 DIF: Easy OBJ: Section 7.3 NAT: RF10 TOP: Solving Exponential Equations KEY: negative exponents 148. ANS: D PTS: 1 DIF: Average OBJ: Section 7.3 NAT: RF10 TOP: Solving Exponential Equations KEY: exponential equation | systematic trial 149. ANS: B PTS: 1 DIF: Average OBJ: Section 7.3 NAT: RF10 TOP: Solving Exponential Equations KEY: exponential equation | equate exponents 150. ANS: D PTS: 1 DIF: Difficult OBJ: Section 7.3 NAT: RF10 TOP: Solving Exponential Equations KEY: half-life | exponential decay 151. ANS: D PTS: 1 DIF: Easy OBJ: Section 8.1 NAT: RF7 TOP: Understanding Logarithms KEY: graph | inverse 152. ANS: B PTS: 1 DIF: Easy OBJ: Section 8.1 NAT: RF7 TOP: Understanding Logarithms KEY: logarithm | exponential function NOT: Draft 153. ANS: B PTS: 1 DIF: Easy OBJ: Section 8.1 NAT: RF7 TOP: Understanding Logarithms KEY: logarithm | exponential function NOT: Draft 154. ANS: C PTS: 1 DIF: Easy OBJ: Section 8.1 NAT: RF7 TOP: Understanding Logarithms KEY: logarithm | exponential function NOT: Draft 155. ANS: D PTS: 1 DIF: Average OBJ: Section 8.1 NAT: RF7 TOP: Understanding Logarithms KEY: logarithm 156. ANS: A PTS: 1 DIF: Easy OBJ: Section 8.2 NAT: RF8 TOP: Transformations of Logarithmic Functions KEY: range | logarithmic functions 157. ANS: C PTS: 1 DIF: Easy OBJ: Section 8.2 NAT: RF8 TOP: Transformations of Logarithmic Functions KEY: vertical translation | transformation 158. ANS: D PTS: 1 DIF: Average OBJ: Section 8.2 NAT: RF8 TOP: Transformations of Logarithmic Functions KEY: horizontal stretch | vertical translation | reflection 159. ANS: B PTS: 1 DIF: Average OBJ: Section 8.2 NAT: RF8 TOP: Transformations of Logarithmic Functions KEY: horizontal translation | vertical translation 160. ANS: D PTS: 1 DIF: Average OBJ: Section 8.2 NAT: RF8 TOP: Transformations of Logarithmic Functions KEY: horizontal translation | asymptote 161. ANS: D PTS: 1 DIF: Average OBJ: Section 8.2 NAT: RF8 TOP: Transformations of Logarithmic Functions KEY: horizontal translation | vertical translation | vertical stretch | horizontal stretch 162. ANS: B PTS: 1 DIF: Average OBJ: Section 8.2 NAT: RF8 TOP: Transformations of Logarithmic Functions KEY: horizontal translation | vertical translation | vertical stretch 163. ANS: B PTS: 1 DIF: Average OBJ: Section 8.3 NAT: RF9 TOP: Laws of Logarithms KEY: product law | laws of logarithms | quotient law 164. ANS: A PTS: 1 DIF: Average OBJ: Section 8.4 NAT: RF10 TOP: Logarithmic and Exponential Equations KEY: logarithmic equation 165. ANS: C PTS: 1 DIF: Average OBJ: Section 8.4 NAT: RF10 TOP: Logarithmic and Exponential Equations KEY: exponential equation | logarithmic equation 166. ANS: D PTS: 1 DIF: Average OBJ: Section 8.4 NAT: RF10 TOP: Logarithmic and Exponential Equations KEY: logarithmic equation 167. ANS: C PTS: 1 DIF: Difficult OBJ: Section 8.1 | Section 8.4 NAT: RF10 | RF7 TOP: Understanding Logarithms | Logarithmic and Exponential Equations KEY: exponential equation | logarithmic equation 168. ANS: B PTS: 1 DIF: Easy OBJ: Section 9.1 NAT: RF14 TOP: Exploring Rational Functions Using Transformations KEY: reciprocal of linear function | vertical asymptote 169. ANS: B PTS: 1 DIF: Average OBJ: Section 9.1 NAT: RF14 TOP: Exploring Rational Functions Using Transformations KEY: reciprocal of linear function | behaviour at non-permissible values 170. ANS: A PTS: 1 DIF: Easy OBJ: Section 9.1 NAT: RF14 TOP: Exploring Rational Functions Using Transformations KEY: reciprocal of linear function | x-intercept 171. ANS: B PTS: 1 DIF: Average OBJ: Section 9.1 NAT: RF14 TOP: Exploring Rational Functions Using Transformations KEY: reciprocal of linear function | graph from function 172. ANS: A PTS: 1 DIF: Difficult OBJ: Section 9.1 NAT: RF14 TOP: Exploring Rational Functions Using Transformations KEY: reciprocal of linear function | graph from function 173. ANS: A PTS: 1 DIF: Average OBJ: Section 9.1 NAT: RF14 TOP: Exploring Rational Functions Using Transformations KEY: reciprocal of linear function | function from graph 174. ANS: A 2 4 6 8 10 12 14 16 18 20 22 –2 –4 –6 –8 –10 –12 –14 –16 –18 –20 –22 x 2 4 6 8 10 12 14 16 18 20 22 –2 –4 –6 –8 –10 –12 –14 –16 –18 –20 –22 y PTS: 1 DIF: Difficult + OBJ: Section 9.1 NAT: RF14 TOP: Exploring Rational Functions Using Transformations KEY: slant asymptote | hole | factor 175. ANS: B PTS: 1 DIF: Average OBJ: Section 9.2 NAT: RF14 TOP: Analysing Rational Functions KEY: reciprocal of quadratic function | vertical asymptote 176. ANS: A PTS: 1 DIF: Average OBJ: Section 9.2 NAT: RF14 TOP: Analysing Rational Functions KEY: reciprocal of quadratic function | vertical asymptote 177. ANS: C PTS: 1 DIF: Difficult OBJ: Section 9.2 NAT: RF14 TOP: Analysing Rational Functions KEY: rational function | discontinuity | hole 178. ANS: C PTS: 1 DIF: Average OBJ: Section 9.2 NAT: RF14 TOP: Analysing Rational Functions KEY: reciprocal of quadratic function | y-intercept 179. ANS: D PTS: 1 DIF: Average OBJ: Section 9.2 NAT: RF14 TOP: Analysing Rational Functions KEY: linear expressions in numerator and denominator | horizontal asymptote 180. ANS: C PTS: 1 DIF: Average OBJ: Section 9.2 NAT: RF14 TOP: Analysing Rational Functions KEY: linear expressions in numerator and denominator | x-intercept 181. ANS: C PTS: 1 DIF: Easy OBJ: Section 9.2 NAT: RF14 TOP: Analysing Rational Functions KEY: quadratic denominator | horizontal asymptote 182. ANS: C PTS: 1 DIF: Average OBJ: Section 9.2 NAT: RF14 TOP: Analysing Rational Functions KEY: quadratic denominator | graph from characteristics 183. ANS: B PTS: 1 DIF: Difficult OBJ: Section 9.2 NAT: RF14 TOP: Analysing Rational Functions KEY: quadratic denominator | function from characteristics 184. ANS: B PTS: 1 DIF: Average OBJ: Section 9.2 NAT: RF14 TOP: Analysing Rational Functions KEY: hole 185. ANS: A PTS: 1 DIF: Easy OBJ: Section 9.3 NAT: RF14 TOP: Connecting Graphs and Rational Equations KEY: rational equation 186. ANS: C PTS: 1 DIF: Average OBJ: Section 9.3 NAT: RF14 TOP: Connecting Graphs and Rational Equations KEY: rational equation 187. ANS: C PTS: 1 DIF: Average OBJ: Section 9.3 NAT: RF14 TOP: Connecting Graphs and Rational Equations KEY: rational equation 188. ANS: D PTS: 1 DIF: Easy OBJ: Section 9.3 NAT: RF14 TOP: Connecting Graphs and Rational Equations KEY: rational equation 189. ANS: B PTS: 1 DIF: Average OBJ: Section 9.3 NAT: RF14 TOP: Connecting Graphs and Rational Equations KEY: rational function | x-intercept 190. ANS: B 1 2 3 4 5 6 –1 –2 –3 –4 –5 –6 x 1 2 3 4 5 6 –1 –2 –3 –4 –5 –6 y PTS: 1 DIF: Difficult + OBJ: Section 9.3 NAT: RF14 TOP: Connecting Graphs and Rational Equations KEY: rational equation | graph 191. ANS: D PTS: 1 DIF: Easy OBJ: Section 10.1 NAT: RF1 TOP: Sums and Differences of Functions KEY: add functions | subtract functions 192. ANS: B PTS: 1 DIF: Easy OBJ: Section 10.1 NAT: RF1 TOP: Sums and Differences of Functions KEY: subtract functions | add functions 193. ANS: C PTS: 1 DIF: Average OBJ: Section 10.3 NAT: RF1 TOP: Composite Functions KEY: inverse function | composite functions 194. ANS: D PTS: 1 DIF: Difficult OBJ: Section 10.1 NAT: RF1 TOP: Sums and Differences of Functions KEY: add functions | graph | subtract functions 195. ANS: C PTS: 1 DIF: Easy OBJ: Section 10.2 NAT: RF1 TOP: Products and Quotients of Functions KEY: multiply functions | range 196. ANS: C PTS: 1 DIF: Average OBJ: Section 10.3 NAT: RF1 TOP: Composite Functions KEY: composite functions | evaluate 197. ANS: B PTS: 1 DIF: Difficult OBJ: Section 10.2 NAT: RF1 TOP: Products and Quotients of Functions KEY: multiply functions | graph 198. ANS: C PTS: 1 DIF: Average OBJ: Section 10.2 NAT: RF1 TOP: Products and Quotients of Functions KEY: divide functions | graph 199. ANS: A PTS: 1 DIF: Average OBJ: Section 10.1 NAT: RF1 TOP: Sums and Differences of Functions KEY: add functions | graph 200. ANS: D PTS: 1 DIF: Difficult OBJ: Section 10.2 NAT: RF1 TOP: Products and Quotients of Functions KEY: divide functions | graph 201. ANS: D PTS: 1 DIF: Average OBJ: Section 10.2 NAT: RF1 TOP: Products and Quotients of Functions KEY: divide functions | domain 202. ANS: C PTS: 1 DIF: Easy OBJ: Section 10.3 NAT: RF1 TOP: Composite Functions KEY: composite functions | domain 203. ANS: C PTS: 1 DIF: Easy OBJ: Section 10.1 NAT: RF1 TOP: Sums and Differences of Functions KEY: add functions | range 204. ANS: C PTS: 1 DIF: Average OBJ: Section 10.2 NAT: RF1 TOP: Composite Functions KEY: composite functions | notation 205. ANS: A PTS: 1 DIF: Easy OBJ: Section 10.2 NAT: RF1 TOP: Products and Quotients of Functions KEY: divide functions | domain | restrictions 206. ANS: D PTS: 1 DIF: Easy OBJ: Section 10.2 NAT: RF1 TOP: Products and Quotients of Functions KEY: divide functions | domain 207. ANS: D PTS: 1 DIF: Average OBJ: Section 10.1 NAT: RF1 TOP: Sums and Differences of Functions KEY: add functions 208. ANS: C PTS: 1 DIF: Average OBJ: Section 10.3 NAT: RF1 TOP: Composite Functions KEY: composite functions | evaluate 209. ANS: D PTS: 1 DIF: Average OBJ: Section 10.3 NAT: RF1 TOP: Composite Functions KEY: composite functions | transformations | graph 210. ANS: C PTS: 1 DIF: Average OBJ: Section 10.3 NAT: RF1 TOP: Composite Functions KEY: composite functions | transformations | graph 211. ANS: B PTS: 1 DIF: Easy OBJ: Section 11.1 NAT: PC2 TOP: Permutations KEY: factorial 212. ANS: D PTS: 1 DIF: Easy OBJ: Section 11.1 NAT: PC2 TOP: Permutations KEY: permutations 213. ANS: B PTS: 1 DIF: Easy OBJ: Section 11.1 NAT: PC2 TOP: Permutations KEY: permutations 214. ANS: D PTS: 1 DIF: Difficult OBJ: Section 11.2 NAT: PC3 TOP: Combinations KEY: combinations 215. ANS: D PTS: 1 DIF: Average OBJ: Section 11.1 NAT: PC2 TOP: Permutations KEY: fundamental counting principle 216. ANS: C PTS: 1 DIF: Easy OBJ: Section 11.2 NAT: PC3 TOP: Combinations KEY: combinations 217. ANS: C PTS: 1 DIF: Average OBJ: Section 11.1 | Section 11.2 NAT: PC2 | PC3 TOP: Permutations | Combinations KEY: permutations | combinations 218. ANS: D PTS: 1 DIF: Average OBJ: Section 11.1 | Section 11.2 NAT: PC2 | PC3 TOP: Permutations | Combinations KEY: permutations | combinations 219. ANS: B PTS: 1 DIF: Average OBJ: Section 11.2 NAT: PC3 TOP: Combinations KEY: combinations 220. ANS: B PTS: 1 DIF: Difficult OBJ: Section 11.2 NAT: PC3 TOP: Combinations KEY: combinations 221. ANS: C PTS: 1 DIF: Average OBJ: Section 11.3 NAT: PC4 TOP: The Binomial Theorem KEY: binomial expansion | binomial theorem 222. ANS: C PTS: 1 DIF: Average OBJ: Section 11.3 NAT: PC4 TOP: The Binomial Theorem KEY: binomial expansion | binomial theorem 223. ANS: C PTS: 1 DIF: Difficult OBJ: Section 11.3 NAT: PC4 TOP: The Binomial Theorem KEY: Pascal's triangle 224. ANS: B PTS: 1 DIF: Average OBJ: Section 11.3 NAT: PC4 TOP: The Binomial Theorem KEY: Pascal's triangle | binomial expansion | binomial theorem 225. ANS: A PTS: 1 DIF: Difficult + OBJ: Section 11.1 NAT: PC1 TOP: Permutations KEY: factorial | fundamental counting principle 226. ANS: C PTS: 1 DIF: Average OBJ: Section 11.2 NAT: PC3 TOP: Combinations KEY: combinations 227. ANS: A PTS: 1 DIF: Difficult OBJ: Section 11.2 NAT: PC3 TOP: Combinations KEY: combinations