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Section 2.6 Introduction to Functions 203 y f y g1x2 1x2 For Exercises 67–76, refer to the functions and , defined as follows: f , 42, 11.2, 526 513, 52, 17, 32, 132 67. Identify the domain of f. 68. Identify the range of f. 69. Identify the range of g. 70. Identify the domain of g. 71. For what value(s) of x is f(x) 5? 72. For what value(s) of x is f(x) 3? 73. For what value(s) of x is g(x) 0? 74. For what value(s) of x is g(x) 6? 75. Find f (7). 76. Find g(0). Concept 5: Domain of a Function 77. Explain how to determine the domain of the function defined by f . 1x2 78. Explain how to determine the domain of the function defined by x 6 x 2 For Exercises 79–94, find the domain. Write the answers in interval notation. (See Example 6.) 79. 80. 81. 82. k1t2 h1t2 1t 5 n1p2 1t 7 83. 84. 85. 86. n1x2 m1x2 112 6x g1a2 11 2x f1a2 1a 2 1a 3 87. 88. 89. 90. f1x2 g1x2 8x p q1t2 x 6 p1t2 t3 t 1 2t2 t 1 91. 92. 93. 94. Mixed Exercises 95. The height (in feet) of a ball that is dropped from an 80-ft building is given by where t is the time in seconds after the ball is dropped. a. Find h(1) and h(1.5) b. Interpret the meaning of the function values found in part (a). h1t2 16t2 80, 96. A ball is dropped from a 50-m building.The height (in meters) after t sec is given by a. Find h(1) and h(1.5). b. Interpret the meaning of the function values found in part (a). 97. If Alicia rides a bike at an average speed of 11.5 mph, the distance that she rides can be represented by where t is the time in hours. d1t2 11.5t, a. Find d(1) and d(1.5). b. Interpret the meaning of the function values found in part (a). h1t2 4.9t2 50. p 8 p2 2 h1p2 p 4 p2 1 g1t2 t 7 t f1t2 5 t m1x2 x 1 x 4 k1x2 x 3 x 6 g1x2 1x 3. g 510, 62, 12, 62, 16, 02, 11, 026


miller_intermediate_algebra_4e_ch1_3
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