56. 2 y 2 4 4 –2 –4 –2 –4 –6 x 57. x -22 -11 -8 -7 y 18 9 12 15 58. x 3 12 14 25 y -5 -12 10 0 Find the indicated value for each given relation. 59. Find the output value that corresponds to the input value of 1 4 for the relation y = 16x2 . 60. Find the output value that corresponds to the input value of 1 3 for the relation y = -9x2. 61. Find the output values that correspond to the input value of 0 for the relation whose graph is shown. 1 y 1 2 2 –1 –2 –1 –2 x 62. Find the input values that correspond to the output value of 0 for the relation whose graph is shown. 3 1 –2 –1 1 x 2 2 –1 y 63. Find the output value that corresponds to an input value of 11 for the relation y = -|3 - x| + 11. 64. Find the output value that corresponds to an input value of 23 for the relation y = -|6 - 2x| + 13. 65. Find the input value that corresponds to the output value of 14 for the relation 5x - 7y = 2. 66. Find the input value that corresponds to the output value of 9 for the relation 4x - 5y = 3. You Be the Teacher! Correct each student’s errors, if any. 67. Find the domain of the relation given by the graph. 1 y 1 2 3 –1 –1 –2 –3 x Stephanie’s work: The domain is 3, ∞). 68. Find the range of the relation given by the graph. 3 1 –2 –1 1 x 2 2 –1 y Monica’s work: The range is 2, ∞). 69. Find the input value that corresponds to the output value of 2 for the relation 2x - y = 4. Brandon’s work: 2(2) - y = 4 4 - y = 4 -y = 4 y = 0 So, the input value of 0 corresponds to the output value of 2. 70. Find the input value that corresponds to the output value of 3 for the relation y = |x - 1| + 2. Marcus’s work: |x - 1| + 2 = 3 |x - 1| = 1 x - 1 = 1 x = 2 So, the input value of 2 corresponds to an output value of 3. Calculate It! Use a calculator to fi nd the output value that corresponds to an input value of 3.5 for each relation. Round answers to two decimal places when applicable. 71. y = x2 - 6x - 10 72. y = 18 - 3x2 + 4x 73. y = !10x 2 20 74. y = !12x 2 3 176 Chapter 3 Graphs, Relations, and Functions
hendricks_intermediate_algebra_1e_ch1_3
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