Chapter 1 Test Review s1

Chapter 1 Test ReviewMultiple Choice Identify the choice that best completes the statement or answers the question.____ 1. Find the zeros of the function algebraically. a. b. c. d. e.____ 2. Find the zeros of the function algebraically. a. b. c. d. e.____ 3. Find the average rate of change of the function from to . a. The average rate of change from to is . b. The average rate of change from to is . c. The average rate of change from to is 6. d. The average rate of change from to is . e. The average rate of change from to is .____ 4. Select the graph of the function and determine whether it is even, odd, or neither. Verify your answers algebraically. a. d. y y 8 86 64 42 2–8 –6 –4 –2 2 4 6 8 x –8 –6 –4 –2 2 4 6 8 x –2 –2–4 –4–6 –6–8 –8O E dd ven b. e. y y 8 86 64 42 2–8 –6 –4 –2 2 4 6 8 x –8 –6 –4 –2 2 4 6 8 x –2 –2–4 –4–6 –6–8 –8N O either dd c. y 8642–8 –6 –4 –2 2 4 6 8 x –2–4–6–8Neither____ 5. Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even and odd. a. b. c. d. e.____ 6. Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even and odd. a. b. c. d. e.____ 7. Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even and odd. a. b. c. d. e.____ 8. Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even and odd. a. b. c. d. e.____ 9. Use a graphing utility to graph the function and visually determine the intervals over which the function is increasing, decreasing, or constant. a. b. c. d. e.____ 10. Select the correct graph of the given function. a. d. y y 10 108 86 64 42 2–20 –16 –12 –8 –4 4 8 12 16 20 x –20 –16 –12 –8 –4 4 8 12 16 20 x –2 –2–4 –4–6 –6–8 –8–10 –10 b. e. y y 3 108 2 64 1 2–10 –8 –6 –4 –2 2 4 6 8 10 x –10 –8 –6 –4 –2 2 4 6 8 10 x –2 –1 –4–6 –2 –8–3 –10 c. y963–20 –16 –12 –8 –4 4 8 12 16 20 x –3–6–9____ 11. Select the correct graph of the given function. a. d. y y 5 54 43 32 21 1–5 –4 –3 –2 –1 1 2 3 4 5 x –5 –4 –3 –2 –1 1 2 3 4 5 x –1 –1–2 –2–3 –3–4 –4–5 –5 b. e. y y 5 54 43 32 21 1–5 –4 –3 –2 –1 1 2 3 4 5 x –5 –4 –3 –2 –1 1 2 3 4 5 x –1 –1–2 –2–3 –3–4 –4–5 –5 c. y 54321–5 –4 –3 –2 –1 1 2 3 4 5 x –1–2–3–4–5____ 12. Select the correct graph of the given function. a. d. y y 7 7 6 6 5 5 4 4 3 3 2 2 1 1–5 –4 –3 –2 –1–1 1 2 3 4 5 x –5 –4 –3 –2 –1–1 1 2 3 4 5 x –2 –2 –3 –3 –4 –4 –5 –5 –6 –6 –7 –7 b. e. y y 7 7 6 6 5 5 4 4 3 3 2 2 1 1–5 –4 –3 –2 –1–1 1 2 3 4 5 x –5 –4 –3 –2 –1–1 1 2 3 4 5 x –2 –2 –3 –3 –4 –4 –5 –5 –6 –6 –7 –7 c. y 7 6 5 4 3 2 1–5 –4 –3 –2 –1–1 1 2 3 4 5 x –2 –3 –4 –5 –6 –7____ 13. Select the correct graph of the given function. a. y d. y 5 54 43 32 21 1–5 –4 –3 –2 –1 1 2 3 4 5 x –5 –4 –3 –2 –1 1 2 3 4 5 x –1 –1–2 –2–3 –3–4 –4–5 –5 b. y e. y 5 54 43 32 21 1–5 –4 –3 –2 –1 1 2 3 4 5 x –5 –4 –3 –2 –1 1 2 3 4 5 x –1 –1–2 –2–3 –3–4 –4–5 –5 c. y 54321–5 –4 –3 –2 –1 1 2 3 4 5 x –1–2–3–4–5____ 14. Select the correct graph of the given function. a. d. y y 5 54 43 32 21 1–10 –8 –6 –4 –2 2 4 6 8 10 x –10 –8 –6 –4 –2 2 4 6 8 10 x –1 –1–2 –2–3 –3–4 –4–5 –5 b. e. y y 5 54 43 32 21 1–10 –8 –6 –4 –2 2 4 6 8 10 x –10 –8 –6 –4 –2 2 4 6 8 10 x –1 –1–2 –2–3 –3–4 –4–5 –5 c. y 54321–10 –8 –6 –4 –2 2 4 6 8 10 x –1–2–3–4–5 ____ 15. Evaluate the function for . a. b. c. d. e.____ 16. Select the graph of the function: a. d. y y 5 54 43 32 21 1–5 –4 –3 –2 –1 1 2 3 4 5 x –5 –4 –3 –2 –1 1 2 3 4 5 x –1 –1–2 –2–3 –3–4 –4–5 –5 b. e. y y 5 54 43 32 21 1–5 –4 –3 –2 –1 1 2 3 4 5 x –5 –4 –3 –2 –1 1 2 3 4 5 x –1 –1–2 –2–3 –3–4 –4–5 –5 c. y 54321–5 –4 –3 –2 –1 1 2 3 4 5 x –1–2–3–4–5____ 17. Which graph represents the function? g(x) = a. b. c. d. e.____ 18. Use the graph of to write an equation for the function whose graph is shown. y161284–8 –4 4 8 x a. b. c. d. e.____ 19. Identify the parent function and the transformation shown in the graph. Write an equation for the function shown in the graph. y844 8 12 16 x–4–8 a. Horizontal shift of b. Vertical shift of c. Vertical shift of d. Horizontal shift of e. Vertical shift of ____ 20. Identify the parent function and the transformation shown in the graph. Write an equation for the function shown in the graph. y 20161284–8 –4 4 8 x a. Reflection in the -axis of b. Horizontal shift of -axis of c. Reflection in the -axis of d. Reflection in the -axis of e. Reflection in the -axis of ____ 21. Indentify the parent function . The parent function is related to . a. b. c. d. e.____ 22. is related to the parent function, select the graph of . a. d. y y8 84 4–8 –4 4 8 x –8 –4 4 8 x–4 –4–8 –8 b. e. y y8 84 4–8 –4 4 8 x –8 –4 4 8 x–4 –4–8 –8 c. y84–8 –4 4 8 x–4–8 ____ 23. is related to the parent function. Use function notation to write in terms of . a. b. c. d. e.____ 24. is related to the parent function. Select the graph of . a. d. y 20 y 16 2012 168 124 84 –20 –16 –12 –8 –4 4 8 12 16 20 x –4 –20 –16 –12 –8 –4 4 8 12 16 20 x –8 –4–12 –8–16 –12–20 –16–20 b. e. y y 20 2016 1612 128 84 4–20 –16 –12 –8 –4 4 8 12 16 20 x –20 –16 –12 –8 –4 4 8 12 16 20 x –4 –4–8 –8–12 –12–16 –16–20 –20 c. y 20161284–20 –16 –12 –8 –4 4 8 12 16 20 x –4–8–12–16–20____ 25. Write an equation for the function that is described by the given characteristic.The shape of , but shifted units to the left and reflected in both the -axis and the -axis. a. b. c. d. e. ____ 26. Use the graph of to write an equation for each function whose graph is shown. y1284 (–2, 3)–8 –4 4 8 x–4 a. b. c. d. e.____ 27. Use the graph of to write an equation for the function whose graph is shown. a. b. c. d. e.____ 28. Write an equation for the function that is described by the following characteristics: the shape of , but moved eight units down, two units to the left, and then reflected in the x-axis a. b. c. d. e.____ 29. Find ., a. b. 12 c. d. e.____ 30. Find ., a. b. c. d. e.____ 31. Find ., a. b. c. d. e.____ 32. Evaluate the indicated function for and . a. 17 b. 23 c. –23 d. 27 e. –2____ 33. Evaluate the indicated function for and . a. b. c. d. e.____ 34. Find ., a. b. c. d. e.____ 35. Find fog and the domain of composite function., a.Domain of fog: all real numbers x except b.Domain of fog: all real numbers x except c.Domain of fog: all real numbers x except d.Domain of fog: all real numbers x except e.Domain of fog: all real numbers x except ____ 36. Find ( f  g )(x). a. b. c. d. e.____ 37. Find ( fg )(x). a. b. c. d. e. ____ 38. Evaluate the indicated function for and . ( fg )(1) a. 12 b. –32 c. –20 d. –16 e. –30____ 39. Find . a. b. c. d. e.____ 40. The monthly cost C of running the machinery in a factory for t hours is given byThe number of hours t needed to produce x products is given by. Find the equation representing the cost C of manufacturing x products. a. b. c. d. e.____ 41. Find the inverse function of f informally. a. b. c. d. e.____ 42. Find the inverse function of . a. b. c. d. e.____ 43. Determine whether the function has an inverse function. If it does, find the inverse function. a. b. c. d. e. No inverse ____ 44. Determine whether the function has an inverse function. If it does, find the inverse function. a. b. c. d. e. No inverse____ 45. Use the functions given by and to find . a. b. c. d. e.____ 46. Use the functions given by and to find . a. b. c. d. e.____ 47. Use the functions given by and to find . a. b. c. d. e.____ 48. Use the graph of the function f to create a table of values for the given points. Then create a second table that can be used to find . y76543211 2 3 4 5 6 7 x a. b. c. d. e.____ 49. Graph the given function. a. d. b. e. c.____ 50. Show algebraically that f and g are inverse functions. a. Yes, f and g are inverse functions. b. No, f and g are not inverse functions. Chapter 1 Test Review Answer SectionMULTIPLE CHOICE1. ANS: C PTS: 1 REF: 1.5.25 2. ANS: D PTS: 1 REF: 1.5.27 3. ANS: B PTS: 1 REF: 1.5.79 4. ANS: D PTS: 1 REF: 1.5.95 5. ANS: C PTS: 1 REF: 1.5.125 6. ANS: E PTS: 1 REF: 1.5.126 7. ANS: C PTS: 1 REF: 1.5.127 8. ANS: A PTS: 1 REF: 1.5.128 9. ANS: B PTS: 1 REF: 1.5.52 OBJ: Determine intervals on which functions are increasing or decreasing 10. ANS: D PTS: 1 REF: 1.6.21 11. ANS: B PTS: 1 REF: 1.6.23 12. ANS: D PTS: 1 REF: 1.6.32 13. ANS: A PTS: 1 REF: 1.6.36 14. ANS: E PTS: 1 REF: 1.6.42 15. ANS: B PTS: 1 REF: 1.6.47 16. ANS: C PTS: 1 REF: 1.6.55 17. ANS: E PTS: 1 REF: 1.6.56 OBJ: Identify step functions 18. ANS: D PTS: 1 REF: 1.7.16b 19. ANS: A PTS: 1 REF: 1.7.19 20. ANS: D PTS: 1 REF: 1.7.24 21. ANS: D PTS: 1 REF: 1.7.25a 22. ANS: B PTS: 1 REF: 1.7.26c 23. ANS: C PTS: 1 REF: 1.7.45d 24. ANS: D PTS: 1 REF: 1.7.51c 25. ANS: C PTS: 1 REF: 1.7.61 26. ANS: D PTS: 1 REF: 1.7.65b 27. ANS: B PTS: 1 REF: 1.7.17 OBJ: Write equations for transformations of common functions 28. ANS: C PTS: 1 REF: 1.7.58 OBJ: Write equations for transformations of common functions 29. ANS: B PTS: 1 REF: 1.8.9b 30. ANS: B PTS: 1 REF: 1.8.11c 31. ANS: B PTS: 1 REF: 1.8.13a 32. ANS: B PTS: 1 REF: 1.8.18 33. ANS: E PTS: 1 REF: 1.8.21 34. ANS: B PTS: 1 REF: 1.8.37a 35. ANS: C PTS: 1 REF: 1.8.47a 36. ANS: D PTS: 1 REF: 1.8.13 OBJ: Find combinations of functions 37. ANS: C PTS: 1 REF: 1.8.14 OBJ: Find combinations of functions 38. ANS: D PTS: 1 REF: 1.8.23 OBJ: Evaluate combinations of functions 39. ANS: A PTS: 1 REF: 1.8.44b OBJ: Find compositions of functions 40. ANS: E PTS: 1 REF: 1.8.74a OBJ: Use compositions of functions to model real-life problems 41. ANS: E PTS: 1 REF: 1.9.10 42. ANS: D PTS: 1 REF: 1.9..51a 43. ANS: E PTS: 1 REF: 1.9.63 44. ANS: E PTS: 1 REF: 1.9.71 45. ANS: E PTS: 1 REF: 1.9.91 46. ANS: C PTS: 1 REF: 1.9.93 47. ANS: A PTS: 1 REF: 1.9.95 48. ANS: A PTS: 1 REF: 1.9.107 49. ANS: B PTS: 1 REF: 1.9.15a OBJ: Graph quadratic function 50. ANS: A PTS: 1 REF: 1.9.24a OBJ: Verify inverse functions

Chapter 1 Test Review s1

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