Culminating_Part_3

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MHF4U-Culminating Part 3 Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. What is the degree and lead coefficient of ? a. degree 1 with a lead coefficient of 1 c. degree 3 with a lead coefficient of 6 b. degree 3 with a lead coefficient of 1 d. degree 6 with a lead coefficient of 1 ____ 2. Using end behaviours, turning points, and zeros, determine the polynomial equation that represents the graph shown below. a. c. b. d. ____ 3. Which polynomial function would have the end behaviour of as , ? a. c. b. d. ____ 4. What is the maximum number of turning points that the polynomial function can have? a. 0 c. 3 b. 2 d. 6 ____ 5. If any of the linear factors of a polynomial function are squared, then which of the following is not true of the corresponding x -intercepts? a. The x -intercepts are turning points of the curve. b. The x -axis is tangent to the curve at these points. c. The graph passes through the x -axis at these points. d. The graph has a parabolic shape near these x- intercepts. ____ 6. If any of the linear factors of a polynomial function are cubed, then which of the following is not true of the corresponding x -intercepts? a. The x -intercepts are turning points of the curve. b. The x -axis is tangent to the curve at these points. c. The graph passes through the x -axis at these points. 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y
d. The graph has a cubic shape near these x- intercepts. ____ 7. If any of the factors of a polynomial function are linear, then which of the following is not true? a. The graph has a linear shape near this x -intercept. b. The x -intercept is a point where the curve passes through the x -axis. c. The zeros of the function are locations on the graph where y = 0. d. The x -axis is tangent to the curve at these points. ____ 8. What is the equation of the graph shown below? a. c. b. d. ____ 9. Which graph is a possible sketch of the function ? a. c. 1 2 3 4 5 –1 –2 –3 –4 –5 x 2 4 6 8 10 –2 –4 –6 –8 –10 y 1 2 3 4 5 –1 –2 –3 –4 –5 x 5 10 15 20 25 –5 –10 –15 –20 –25 y 1 2 3 4 5 –1 –2 –3 –4 –5 x 6 12 18 24 30 –6 –12 –18 –24 –30 y
b. d. ____ 10. Which of the following statements about the function is not true? a. The value of a represents a vertical stretch/compression. b. The value of d represents a horizontal translation. c. The value of k represents the maximum or minimum of the function. d. The value of c represents a vertical translation. ____ 11. What is the parent function of ? a. c. b. d. ____ 12. What is the parent function of ? a. c. b. d. ____ 13. Determine the x -intercept(s) of the function . a. 9, 9 c. 5, 1 b. 3, 3 d. 1, 5 ____ 14. Determine which function represents the graph shown below without graphing the function. 1 2 3 4 5 –1 –2 –3 –4 –5 x 5 10 15 20 25 –5 –10 –15 –20 –25 y 1 2 3 4 5 –1 –2 –3 –4 –5 x 6 12 18 24 30 –6 –12 –18 –24 –30 y 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y
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a. c. b. d. ____ 15. Which of the following statements is not true regarding synthetic division? a. One must be used as the coefficient of any missing powers of the variable in both the divisor and the dividend. b. A polynomial can only be divided by a polynomial of the same degree or less. c. Synthetic division can only be used when the divisor is linear. d. If the remainder of the synthetic division is zero, both the divisor and the quotient are factors of the dividend. ____ 16. What is the degree of the quotient for the division statement ? a. 1 c. 3 b. 2 d. 4 ____ 17. Calculate using long division. a. remainder 10 c. remainder 21 b. remainder 19 d. ____ 18. Calculate using long division. a. remainder b. c. remainder d. not possible ____ 19. What is the dividend if the divisor is , the quotient is , and the remainder is 7? a. c. b. d. ____ 20. Which one of the following is not a factor of ? a. 2 x 1 c. x + 4 b. x 1 d. x + 1 ____ 21. The polynomial has factors x + 8 and 3 x + 2. Determine the value of k. a. 58 c. 16 b. 16 d. 58 ____ 22. Which expression is the difference of two cubes? a. c. b. d. ____ 23. Write the expression in factored form. a. c. b. d. ____ 24. Write the expression in factored form. a. c.
b. d. ____ 25. Determine the completely factored form of . a. c. b. d. ____ 26. Which of the following is a partially factored form of the function ? a. c. b. d. ____ 27. Which of the following words or phrases would indicate that an inequality should be used to model a situation rather than an equation. a. ‘is equal’ c. ‘product of’ b. ‘at least’ d. ‘divided by’ ____ 28. Solve the inequality . a. x < 21 c. x < 7 b. x > 7 d. ____ 29. Choose the phrase the best completes the following sentence. To solve an inequality, you reverse the sign when: a. multiplying by 1 c. multiplying or dividing by 1 b. dividing by 1 d. multiplying or dividing by 0 ____ 30. Which is the solution to the inequality ? a. c. b. d. ____ 31. Which is the solution set of the inequality ? a. { x R c. { x R b. { x R d. { x R ____ 32. Determine the interval(s) on which . a. c. b. d. ____ 33. Use the quadratic formula to determine when is greater than 0. Round your answer to two decimal places. a. , c. b. , d. ____ 34. Provide the intervals you would check to determine when . a. , c. , , b. , , d. , 0 1 2 3 0 –1 –2 –3 0 1 2 3 0 –1 –2 –3 0 1 2 3 0 –1 –2 –3 0 1 2 3 0 –1 –2 –3
____ 35. Graph the solution to on a number line. a. c. b. d. ____ 36. Examine the graph of the function . Determine the interval(s) on which the graph’s rate of change is negative. Round your answer to two decimal places. a. , , c. , b. d. , ____ 37. On what interval(s) will the function have a positive rate of change? a. c. b. d. ____ 38. Where does the reciprocal function of f ( x ) 3 x increase? a. { x R | x > 3 } c. { x R | x 3} b. { x R | x < 3 } d. { x R } ____ 39. What is the domain of the reciprocal function of f ( x ) 5 x + 1? a. { x R | x } c. { x R | x } b. { x R | x } d. { x R } ____ 40. The graph represents the reciprocal function of f ( x ). What is the equation of f ( x )? 0 0.25 0.5 0.75 1 0 –0.25 –0.5 –0.75 –1 0 1 2 3 4 5 0 –1 –2 –3 –4 –5 0 0.25 0.5 0.75 1 0 –0.25 –0.5 –0.75 –1 0 0.25 0.5 0.75 1 0 –0.25 –0.5 –0.75 –1 1 2 3 4 5 –1 –2 –3 –4 –5 x 2 4 6 8 10 12 14 16 –2 –4 y
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a. f ( x ) 2 x + 1 c. f ( x ) 2 x + 1 b. f ( x ) 2 x 1 d. f ( x ) 2 x 1 ____ 41. Identify the function represented by this graph. a. y x + 1 c. y b. y x 1 d. y ____ 42. Identify the function that matches the graph except at . 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y
a. f ( x ) c. f ( x ) b. f ( x ) d. f ( x ) ____ 43. Identify any holes in the graph of f ( x ) a. x c. x 7 b. x d. x 7 ____ 44. It takes Frank 2 hours longer than Jane to carpet a certain type of room. Together they can carpet that type of room in 1 hours. How long would it take for Frank to do the job alone? a. 1 hours c. 3 hours b. 3 hours d. 5 hours ____ 45. Solve for x . a. x = c. x = 2 b. x = 2, 2 d. x = 2 ____ 46. How many solutions does the equation have? a. 0 c. 2 b. 1 d. 3 ____ 47. Solve for x. a. x = 2, 1 c. x = 1 b. x = 1 d. x = 0 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y
____ 48. An airplane has a speed of 400 km/h with no wind. The airplane flies 2140 km with the wind. The airplane can only fly 1860 km against the wind in the same time. If w equals the speed of the wind, which equation would be used to find w ? a. c. b. d. ____ 49. The harmonic mean of two numbers, a and b , is a number m such that the reciprocal of m is the average of the reciprocals of a and b . Which of the following is a formula for the harmonic mean of a and b ? a. m c. m b. m d. m ____ 50. The inequality 3 x 2 is equivalent to which of the following? a. c. b. d. ____ 51. Which inequality is equivalent to ? a. c. b. d. ____ 52. Which inequality is equivalent to ? a. c. b. d. ____ 53. Which of the following are intervals to be considered when finding solutions to ? a. c. b. , d. , ____ 54. Which of the following is a part of the solution set of ? a. c. b. d. ____ 55. Use this graph to determine which of the following is a part of the solution set of .
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a. c. b. d. ____ 56. At what point on the graph of would you not be able to determine the instantaneous rate of change? a. c. b. d. , ____ 57. What is the average rate of change of from x = 2 to x = 4? a. c. b. d. ____ 58. The average cost of producing a commodity is where represents the number produced in hundreds. Estimate the rate at which the average cost is changing at a production level of 700 items. a. 2.66 c. 2.59 b. 2.66 d. ____ 59. Which of the following is the equation of the tangent line to at (3, ). a. c. b. d. ____ 60. The average cost of producing a toy where x represents the number of toys produced per 100 is given by . Estimate the rate at which the average cost is changing at a production level of 400 toys. a. c. b. d. 1 2 3 4 5 –1 –2 –3 –4 –5 x 1 2 3 4 5 –1 –2 –3 –4 –5 y
____ 61. A point moves along a line so that the distance (in metres) is given by . Estimate the instantaneous rate of change at 2.3 seconds. a. 0.46 c. 0.88 b. 0.55 d. 1.09 ____ 62. Which of the following radian measures is the largest? a. c. b. d. ____ 63. If the central angle is radians, what should the radius of a circle be to make the arc length 1 m? a. 0.424 m c. 2.356 m b. 0.238 m d. 4.188 m ____ 64. If a man walks around a circle 2.125 times, how many metres did he walk if the radius of the circle is 4 m? a. 50.265 m c. 53.407 m b. 25.525 m d. 47.123 m ____ 65. If a ball travels around a circle of radius 4 m in 1.5 minutes, what is the angular speed of the ball? a. radians/s c. radians/s b. radians/s d. radians/s ____ 66. If an object travels in a circle radians, at what degree measure is it, relative to where it started? a. 1052 c. 72 b. 144 d. 60 ____ 67. What is the exact value of sin ? a. c. b. 0.7071 d. ____ 68. If a point on the Cartesian plane lies at (4, 2), what is the angle made between the line containing the point and the origin, and the negative y -axis? a. 1.249 radians c. 0.523 radians b. 0.463 radians d. 1.047 radians ____ 69. If a sign is sticking out of the ground at an angle of 86 and is 2 m long, how high is the end from the ground? a. 28.60 m c. 2.00 m b. 1.14 m d. 1.75 m
____ 70. If a function is of the type and the amplitude is 2, there is an expansion of 2, and a shift down of 3, what are the values of A, B, C and D , respectively? a. 0.5, 3, 0, 2 c. 0.5, 0, 2, 3 b. 2, 0.5, 3, 0 d. 2, 0.5, 0, 3 ____ 71. A man programs his sprinkler system using the equation 15 sin ( kt ), where t is in seconds. If he wants it to have a period of s, what should k be? a. c. b. d. ____ 72. Which of the following functions has the longest period? a. c. b. d. ____ 73. Which function is has a point closest to the origin? a. c. b. d. ____ 74. A loop on a roller coaster has its highest point at 42 m and it's lowest point at 18 m. If the height of a cart on the loop of the roller coaster were modelled by a sine or cosine function, what would the amplitude be? a. 14 m c. 24 m b. 21 m d. 7 m ____ 75. The productivity of a person at work (on a scale of 0 to 10) is modelled by a cosine function: , where t is in hours. If the person starts work at t = 0, being 8:00 a.m., at what times is the worker the least productive? a. 12 noon c. 11 a.m. and 3 p.m. b. 10 a.m. and 2 p.m. d. 10 a.m., 12 noon, and 2 p.m. ____ 76. The height of a ball is modelled by the equation where h ( t ) is in metres and t is in seconds. What are the highest and lowest points the ball reaches? a. 10.5 m and 6.5 m c. 6.5 m and 2.5 m b. 10.5 m and 2.5 m d. 14.5 m and 6.5 m ____ 77. What value for the function gives an instantaneous rate of change of 0? a. 0 c. b. d. ____ 78. A bumble bee’ s flight is modelled by , where h is in metres and t is in seconds. At what time is the bee’s instantaneous rate of change of height greatest? a. 1 s c. 1.5 s b. 1.25 s d. 2 s
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____ 79. A plane makes a loop in the air modelled by the function , where h is in km and t is in seconds. If the plane makes only one full loop, what time(s) are the instantaneous rate of change 0? a. 8, 24 c. 0, 32 b. 16, 48 d. 0, 16, 32 ____ 80. The movement of a ball is modelled by the function . What is the average rate of change for the interval ? a. 7 c. 0 b. 14 d. 2 ____ 81. Which of the following properly expresses with a compound angle formula? a. c. b. d. ____ 82. What is the exact value of ? a. c. b. d. ____ 83. Which expression is equivalent to ? a. c. b. d. ____ 84. For an acute angle, , of a right triangle, . Which measurement is a possible size for ? a. c. b. d. ____ 85. If , what is , given that ? a. c. b. d. ____ 86. Given that , what is , if ? a. c. b. d. ____ 87. The following is the graph of which function?
a. c. b. d. ____ 88. For which of the following expressions would it NOT be useful to employ a double angle formula in order to calculate? a. c. b. d. ____ 89. Which expression is equivalent to ? a. c. b. d. ____ 90. Simplify the expression . a. c. b. d. ____ 91. Which equation is represented by the following graph? a. c. b. d. 3.14 6.28 –3.14 –6.28 x 1 –1 y 3.14 6.28 –3.14 –6.28 x 1 –1 y
____ 92. Which equation is represented by the following graph? a. c. b. d. ____ 93. Which value for is a solution to ? a. c. b. d. ____ 94. Which value for is NOT a solution for ? a. c. b. 0 d. ____ 95. How many solutions does the equation have for ? a. 3 c. 5 b. 4 d. 6 ____ 96. Use the following graph of to estimate the solution of for . a. 1.57 c. b. 3.14 d. 4.71 3.14 6.28 –3.14 –6.28 x 1 –1 y 1.57 3.14 4.71 6.28 x 1 –1 y
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____ 97. Use the following graph of to estimate the solution(s) of for . a. 1.57, 4.71 c. 0, 6.28 b. 3.14 d. -1.57 ____ 98. Factor the expression . a. c. b. d. ____ 99. Which of the following is NOT a solution to the equation for ? a. c. b. d. ____ 100. Which is NOT a solution to the equation ? a. c. b. d. ____ 101. Which of the values in the general logarithmic function should be multiplied by 1 in order to cause a reflection in the y -axis? a. a c. d b. k d. c ____ 102. Which of the following characteristics of the function changes under the following transformations: ? a. The range of the function c. The x -intercept b. The domain of the function d. The vertical asymptote ____ 103. Which is the first transformation that should be applied the graph of to graph ? a. Vertical stretch by a factor of 4 b. Horizontal translation 5 units to the right c. Vertical translation 3 units up d. Vertical compression by a factor of 4 ____ 104. The population of bacteria in a Petri dish increases by a factor of 10 every hour. If there are initially 20 bacteria in the dish, how long will it take before the population increases to 60 000 to the nearest tenth of an hour? a. 3000.0 h c. 4.8 h 1.57 3.14 4.71 6.28 x 1 –1 y
b. 300.0 h d. 3.5 h ____ 105. Which of the following do not exist? a. logarithms with fractional bases c. logarithms that equal zero b. logarithms of negative numbers d. logarithms of irrational numbers ____ 106. Evaluate . a. 4 c. 7 b. 5 d. 10 ____ 107. State the law of logarithms used to rewrite . a. Difference law of logarithms c. Power law of logarithms b. Product law of logarithms d. Quotient law of logarithms ____ 108. Solve for x . . a. 20 c. 120 b. 89 d. 1600 ____ 109. Which of the following statements is correct? a. c. b. d. ____ 110. Which of the following is a valid reason for using common logarithms when solving an exponential equation algebraically? a. Common logarithms can be easily evaluated using readily available technologies. b. Taking any log other than the common log of two equal expressions does not maintain their equality. c. Common logs more closely model the base 10 system than all other logs. d. The power, product and quotient laws of logarithms apply only to common logs. ____ 111. Solve . a. c. b. d. 4 ____ 112. Use graphing technology to solve to two decimal places. a. c. 0 b. 0.64 d. 0.41 ____ 113. Describe the strategy you would use to solve . a. Use the product rule to turn the right side of the equation into a single logarithm. Recognize that the resulting value is equal to x . b. Express the equation in exponential form, set the exponents equal to each other and solve. c. Use the fact that the logs have the same base to add the expressions on the right side of the equation together. Express the results in exponential form, set the exponents equal to each other and solve. d. Use the fact that since both sides of the equations have logarithms with the same base to set the expressions equal to each other and solve.
____ 114. The sound level of a dog barking is 83 dB. The sound level of a thunder clap is 102 dB. How many times louder is the thunder clap than the dog? a. 1.23 c. 79.43 b. 19 d. 8499 ____ 115. A box of tissues cost $2.50 at the end of 2008. Assume prices go up 5% every year. What year will it be when the tissues cost $5.00? a. 2012 c. 2022 b. 2014 d. 2030 ____ 116. Which of the following solutions is 1000 times more acidic than baking soda, which has a pH of 9? a. Soapy water, with a pH of 12. c. Saliva, with a pH of 6. b. Pure water, with a pH of 7. d. Lemon juice, with a pH of 2. ____ 117. Every time a fluid is purified using a certain method of evaporation and condensation, 3.7% of it is lost. The fluid has to be replaced before 40% has been lost, or the equipment it is being used in will be damaged. How many purifications can the fluid be put through before it must be replaced? a. 13 c. 19 b. 14 d. 23 ____ 118. The total number of thousands of people who own MP3 players in a town over a period of years is given in the table below. What is the instantaneous rate of change in the number of people who own an MP3 player in 2008? Year 1999 2000 2003 2005 2008 Number of people 380 399 462 509 590 a. 23 c. 28.8 b. 87.5 d. 65.5 ____ 119. The half-life of a certain element is 20 minutes. You weigh the element and record 80 grams. If you measure again 1.5 hours later, what has been the average amount of decay per minute? a. 0.85 c. 22.9 b. 3.5 d. 0.122 ____ 120. The half-life of a certain element is 20 minutes. You weigh the element and record 80 grams. What is the instantaneous rate of change per minute 1.5 hours after your initial weighing? a. 0.85 c. 22.9 b. 3.5 d. 0.122
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MHF4U-Culminating Part 3 Answer Section MULTIPLE CHOICE 1. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 3.2 - Characteristics of Polynomial Functions 2. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 3.2 - Characteristics of Polynomial Functions 3. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 3.2 - Characteristics of Polynomial Functions 4. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 3.2 - Characteristics of Polynomial Functions 5. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 3.3 - Characteristics of Polynomial Functions in Factored Form 6. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 3.3 - Characteristics of Polynomial Functions in Factored Form 7. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 3.3 - Characteristics of Polynomial Functions in Factored Form 8. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 3.3 - Characteristics of Polynomial Functions in Factored Form 9. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 3.3 - Characteristics of Polynomial Functions in Factored Form 10. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 3.4 - Transformations of Cubic and Quartic Functions 11. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 3.4 - Transformations of Cubic and Quartic Functions 12. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 3.4 - Transformations of Cubic and Quartic Functions 13. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 3.4 - Transformations of Cubic and Quartic Functions 14. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 3.4 - Transformations of Cubic and Quartic Functions 15. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 3.5 - Dividing Polynomials 16. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 3.5 - Dividing Polynomials 17. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 3.5 - Dividing Polynomials 18. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 3.5 - Dividing Polynomials 19. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 3.5 - Dividing Polynomials 20. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 3.6 - Factoring Polynomials 21. ANS: A PTS: 1 REF: Thinking OBJ: 3.6 - Factoring Polynomials 22. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 3.7 - Factoring a Sum or Difference of Cubes
23. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 3.7 - Factoring a Sum or Difference of Cubes 24. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 3.7 - Factoring a Sum or Difference of Cubes 25. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 4.1 - Solving Polynomial Equations 26. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 4.1 - Solving Polynomial Equations 27. ANS: B PTS: 1 REF: Thinking OBJ: 4.2 - Solving Linear Inequalities 28. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 4.2 - Solving Linear Inequalities 29. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 4.2 - Solving Linear Inequalities 30. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 4.2 - Solving Linear Inequalities 31. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 4.2 - Solving Linear Inequalities 32. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 4.3 - Solving Polynomial Inequalities 33. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 4.3 - Solving Polynomial Inequalities 34. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 4.3 - Solving Polynomial Inequalities 35. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 4.3 - Solving Polynomial Inequalities 36. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 4.4 - Rates of Change in Polynomial Functions 37. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 4.4 - Rates of Change in Polynomial Functions 38. ANS: C PTS: 1 REF: Application OBJ: 5.1 - Graphs of Reciprocal Functions 39. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 5.1 - Graphs of Reciprocal Functions 40. ANS: A PTS: 1 REF: Thinking OBJ: 5.1 - Graphs of Reciprocal Functions 41. ANS: D PTS: 1 REF: Thinking OBJ: 5.1 - Graphs of Reciprocal Functions 42. ANS: D PTS: 1 REF: Application OBJ: 5.3 - Graphs of Rational Functions of the Form f(x) = (ax + b)/(cx + d) 43. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 5.3 - Graphs of Rational Functions of the Form f(x) = (ax + b)/(cx + d) 44. ANS: D PTS: 1 REF: Application OBJ: 5.4 - Solving Rational Equations 45. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 5.4 - Solving Rational Equations 46. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 5.4 - Solving Rational Equations 47. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 5.4 - Solving Rational Equations
48. ANS: C PTS: 1 REF: Thinking OBJ: 5.4 - Solving Rational Equations 49. ANS: A PTS: 1 REF: Application OBJ: 5.4 - Solving Rational Equations 50. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 5.5 - Solving Rational Inequalities 51. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 5.5 - Solving Rational Inequalities 52. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 5.5 - Solving Rational Inequalities 53. ANS: D PTS: 1 REF: Application OBJ: 5.5 - Solving Rational Inequalities 54. ANS: B PTS: 1 REF: Thinking OBJ: 5.5 - Solving Rational Inequalities 55. ANS: D PTS: 1 REF: Application OBJ: 5.5 - Solving Rational Inequalities 56. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 5.6 - Rates of Change in Rational Functions 57. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 5.6 - Rates of Change in Rational Functions 58. ANS: B PTS: 1 REF: Application OBJ: 5.6 - Rates of Change in Rational Functions 59. ANS: C PTS: 1 REF: Thinking OBJ: 5.6 - Rates of Change in Rational Functions 60. ANS: D PTS: 1 REF: Application OBJ: 5.6 - Rates of Change in Rational Functions 61. ANS: C PTS: 1 REF: Application OBJ: 5.6 - Rates of Change in Rational Functions 62. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 6.1 - Radian Measure 63. ANS: B PTS: 1 REF: Thinking OBJ: 6.1 - Radian Measure 64. ANS: C PTS: 1 REF: Application OBJ: 6.1 - Radian Measure 65. ANS: A PTS: 1 REF: Thinking OBJ: 6.1 - Radian Measure 66. ANS: C PTS: 1 REF: Thinking OBJ: 6.1 - Radian Measure 67. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 6.2 - Radian Measure and Angles on the Cartesian Plane 68. ANS: A PTS: 1 REF: Thinking OBJ: 6.2 - Radian Measure and Angles on the Cartesian Plane 69. ANS: C PTS: 1 REF: Application OBJ: 6.2 - Radian Measure and Angles on the Cartesian Plane 70. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 6.4 - Transformations of Trigonometric Functions 71. ANS: A PTS: 1 REF: Application OBJ: 6.4 - Transformations of Trigonometric Functions 72. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 6.4 - Transformations of Trigonometric Functions 73. ANS: D PTS: 1 REF: Thinking OBJ: 6.4 - Transformations of Trigonometric Functions 74. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 6.6 - Modelling with Trigonometric Functions 75. ANS: B PTS: 1 REF: Thinking OBJ: 6.6 - Modelling with Trigonometric Functions 76. ANS: B PTS: 1 REF: Application
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OBJ: 6.6 - Modelling with Trigonometric Functions 77. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 6.7 - Rates of Change in Trigonometric Functions 78. ANS: B PTS: 1 REF: Application OBJ: 6.7 - Rates of Change in Trigonometric Functions 79. ANS: D PTS: 1 REF: Application OBJ: 6.7 - Rates of Change in Trigonometric Functions 80. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 6.7 - Rates of Change in Trigonometric Functions 81. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 7.2 - Compound Angle Formulas 82. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 7.2 - Compound Angle Formulas 83. ANS: A PTS: 1 REF: Application OBJ: 7.2 - Compound Angle Formulas 84. ANS: B PTS: 1 REF: Application OBJ: 7.2 - Compound Angle Formulas 85. ANS: B PTS: 1 REF: Application OBJ: 7.3 - Double Angle Formulas 86. ANS: A PTS: 1 REF: Application OBJ: 7.3 - Double Angle Formulas 87. ANS: B PTS: 1 REF: Application OBJ: 7.3 - Double Angle Formulas 88. ANS: A PTS: 1 REF: Thinking OBJ: 7.3 - Double Angle Formulas 89. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 7.4 - Proving Trigonometric Identities 90. ANS: A PTS: 1 REF: Application OBJ: 7.4 - Proving Trigonometric Identities 91. ANS: B PTS: 1 REF: Application OBJ: 7.4 - Proving Trigonometric Identities 92. ANS: B PTS: 1 REF: Application OBJ: 7.4 - Proving Trigonometric Identities 93. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 7.5 - Solving Linear Trigonometric Equations 94. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 7.5 - Solving Linear Trigonometric Equations 95. ANS: B PTS: 1 REF: Thinking OBJ: 7.5 - Solving Linear Trigonometric Equations 96. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 7.5 - Solving Linear Trigonometric Equations 97. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 7.5 - Solving Linear Trigonometric Equations 98. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 7.6 - Solving Quadratic Trigonometric Equations 99. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 7.6 - Solving Quadratic Trigonometric Equations 100. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 7.6 - Solving Quadratic Trigonometric Equations 101. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 8.2 - Transformations of Logarithmic Functions 102. ANS: C PTS: 1 REF: Communication OBJ: 8.2 - Transformations of Logarithmic Functions 103. ANS: A PTS: 1 REF: Knowledge and Understanding
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OBJ: 8.2 - Transformations of Logarithmic Functions 104. ANS: D PTS: 1 REF: Application OBJ: 8.3 - Evaluating Logarithms 105. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 8.3 - Evaluating Logarithms 106. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 8.3 - Evaluating Logarithms 107. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 8.4 - Laws of Logarithms 108. ANS: D PTS: 1 REF: Application OBJ: 8.4 - Laws of Logarithms 109. ANS: A PTS: 1 REF: Thinking OBJ: 8.4 - Laws of Logarithms 110. ANS: A PTS: 1 REF: Thinking OBJ: 8.5 - Solving Exponential Equations 111. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 8.6 - Solving Logarithmic Equations 112. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 8.6 - Solving Logarithmic Equations 113. ANS: A PTS: 1 REF: Thinking OBJ: 8.6 - Solving Logarithmic Equations 114. ANS: C PTS: 1 REF: Application OBJ: 8.7 - Solving Problems with Exponential and Logarithmic Functions 115. ANS: C PTS: 1 REF: Application OBJ: 8.7 - Solving Problems with Exponential and Logarithmic Functions 116. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 8.7 - Solving Problems with Exponential and Logarithmic Functions 117. ANS: A PTS: 1 REF: Thinking OBJ: 8.7 - Solving Problems with Exponential and Logarithmic Functions 118. ANS: C PTS: 1 REF: Application OBJ: 8.8 - Rates of Change in Exponential and Logarithmic Functions 119. ANS: A PTS: 1 REF: Application OBJ: 8.8 - Rates of Change in Exponential and Logarithmic Functions 120. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 8.8 - Rates of Change in Exponential and Logarithmic Functions
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