397 3.5 Rational Functions: Graphs, Applications, and Models Graph each rational function. See Examples 5–9. 61. ƒ1x2 = x + 1 x - 4 62. ƒ1x2 = x - 5 x + 3 63. ƒ1x2 = x + 2 x - 3 64. ƒ1x2 = x - 3 x + 4 65. ƒ1x2 = 4 - 2x 8 - x 66. ƒ1x2 = 6 - 3x 4 - x 81. ƒ1x2 = 1 x2 + 1 82. ƒ1x2 = 1x - 521x - 22 x2 + 9 97. ƒ1x2 = 1x2 - 9212 + x2 1x2 - 4213 + x2 98. ƒ1x2 = 1x2 - 16213 + x2 1x2 - 9214 + x2 73. ƒ1x2 = 3x2 + 3x - 6 x2 - x - 12 74. ƒ1x2 = 4x2 + 4x - 24 x2 - 3x - 10 89. ƒ1x2 = x2 + 2x 2x - 1 90. ƒ1x2 = x2 - x x + 2 67. ƒ1x2 = 3x x2 - x - 2 68. ƒ1x2 = 2x + 1 x2 + 6x + 8 83. ƒ1x2 = x2 + 8x + 16 x2 + 4x - 5 84. ƒ1x2 = x2 + 2x + 1 x2 - x - 6 99. ƒ1x2 = x4 - 20x2 + 64 x4 - 10x2 + 9 100. ƒ1x2 = x4 - 5x2 + 4 x4 - 24x2 + 108 75. ƒ1x2 = 9x2 - 1 x2 - 4 76. ƒ1x2 = 16x2 - 9 x2 - 9 91. ƒ1x2 = x2 - 9 x + 3 92. ƒ1x2 = x2 - 16 x + 4 69. ƒ1x2 = 5x x2 - 1 70. ƒ1x2 = x 4 - x2 85. ƒ1x2 = 20 + 6x - 2x2 8 + 6x - 2x2 86. ƒ1x2 = 18 + 6x - 4x2 4 + 6x + 2x2 77. ƒ1x2 = 1x - 321x + 12 1x - 122 78. ƒ1x2 = x1x - 22 1x + 322 93. ƒ1x2 = 2x2 - 5x - 2 x - 2 94. ƒ1x2 = x2 - 5 x - 3 71. ƒ1x2 = 1x + 621x - 22 1x + 321x - 42 72. ƒ1x2 = 1x + 321x - 52 1x + 121x - 42 87. ƒ1x2 = x2 + 1 x + 3 88. ƒ1x2 = 2x2 + 3 x - 4 79. ƒ1x2 = x x2 - 9 80. ƒ1x2 = -5 2x + 4 95. ƒ1x2 = x2 - 1 x2 - 4x + 3 96. ƒ1x2 = x2 - 4 x2 + 3x + 2
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