460 CHAPTER 4 Inverse, Exponential, and Logarithmic Functions Graph each function. Give the domain and range. See Example 3. 51. ƒ1x2 = a 1 3b x - 2 52. ƒ1x2 = a 1 3b x + 4 53. ƒ1x2 = a 1 3b x+2 54. ƒ1x2 = a 1 3b x-4 55. ƒ1x2 = a 1 3b -x+1 56. ƒ1x2 = a 1 3b -x-2 57. ƒ1x2 = a 1 3b -x 58. ƒ1x2 = - a 1 3b -x 59. ƒ1x2 = a 1 3b x-2 + 2 60. ƒ1x2 = a 1 3b x-1 + 3 61. ƒ1x2 = a 1 3b x+2 - 1 62. ƒ1x2 = a 1 3b x+3 - 2 Connecting Graphs with Equations Write an equation for the graph given. Each represents an exponential function ƒ with base 2 or 3, translated and/or reflected. 63. 0 (2, 7) (1, 1) (0, –1) y = –2 y x 64. 0 (4, 9) (2, 1) y x (3, 3) 65. 0 (0, 7) (–2, 1) (–3, 0) y = –1 y x 66. (1, 7) (0, 5) (–1, 4) 0 y = 3 y x 67. (–1, 1) (–2, 2) 0 y = 3 (0, –1) y x 68. (–1, –1) (–2, 1) 0 y = –3 (0, –2) y x 69. (–1, 4) 0 y = 1 (0, 2) (1, )4 3 y x 70. (–1, 3) 0 y = 5 (0, 4) (–3, –3) x y Solve each equation. See Examples 4–6. 71. 4x = 2 72. 125x = 5 73. a 5 2b x = 4 25 74. a 2 3b x = 9 4 75. 23-2x = 8 76. 52+2x = 25 77. e4x-1 = 1e22x 78. e3-x = 1e32-x 79. 274x = 9x+1 80. 322x = 16x-1 81. 4x-2 = 23x+3 82. 26-3x = 8x+1 83. x2/3 = 4 84. x2/5 = 16 85. x5/2 = 32 86. x3/2 = 27 87. x-6 = 1 64 88. x-4 = 1 256 89. x5/3 = -243 90. x7/5 = -128 91. a 1 eb -x = a 1 e2b x+1 92. ex-1 = a 1 e4b x+1 93. A 22B x+4 = 4x 94. A 23 5B -x = a 1 5b x+2 95. 1 27 = x-3 96. 1 32 = x-5
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