234 CHAPTER 2 Graphs and Functions Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. 33. y = x2 34. y = x3 35. x = y6 36. x = y4 37. y = 2x - 5 38. y = -6x + 4 39. x + y 63 40. x - y 64 41. y = 2x 42. y = -2x 43. xy = 2 44. xy = -6 45. y = 24x + 1 46. y = 27 - 2x 47. y = 2 x - 3 48. y = -7 x - 5 49. Concept Check Choose the correct answer: For function ƒ, the notation ƒ132 means A. the variable ƒ times 3, or 3ƒ. B. the value of the dependent variable when the independent variable is 3. C. the value of the independent variable when the dependent variable is 3. D. ƒ equals 3. 50. Concept Check Give an example of a function from everyday life. (Hint: Fill in the blanks: ________ depends on ________, so ________ is a function of ________.) Let ƒ1x2 = -3x + 4 and g1x2 = -x2 + 4x + 1. Find each of the following. Simplify if necessary. See Example 6. 51. ƒ102 52. ƒ1-32 53. g1-22 54. g1102 55. ƒa 1 3b 56. ƒa- 7 3b 57. ga 1 2b 58. ga- 1 4b 59. ƒ1p2 60. g1k 61. ƒ1-x2 62. g1-x2 63. ƒ1x + 22 64. ƒ1a + 42 65. ƒ12m- 32 66. ƒ13t - 22 For each function, find (a) ƒ122 and (b) ƒ1-12. See Example 7. 67. ƒ = 51-1, 32, 14, 72, 10, 62, 12, 226 68. ƒ = 512, 52, 13, 92, 1-1, 112, 15, 326 69. –1 2 3 5 10 15 19 27 f 70. 2 5 –1 3 1 7 20 f 71. x y 0 2 4 2 –2 4 y = f(x) 72. x y 0 2 2 y = f(x)
RkJQdWJsaXNoZXIy NjM5ODQ=