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87. 88. Find the requested information. 89. f (-2) if f (x) = -5x2 + 7x + 1 90. f (-1) if f (x) = -x2 + 6x + 18 91. The function f (x) is given by Y1. Find a. f (4) and b. x if f (x) = -10. 92. The function c(x) is given by Y1. Find a. c(1) and b. x if c(x) = 3.5. 93. The graph of f (x) is given. Find a. f (6) and b. x if f (x) = 0. 12 4 –8 –4 4 x 8 8 –4 y 94. The graph of f (x) is given. Find a. f (0) and b. x if f (x) = 0. 6 2 –2 x 2 4 4 6 –2 y 2 2 4 4 6 –2 –4 –2 –4 x y 2 2 4 4 –2 –4 –2 –4 x y 95. Find f (4.2) if f (x) = 1.5x - 3.2. 96. Find f (-0.8) if f (x) = -2.4x + 8.4. Write each linear equation in two variables in function notation. Then fi nd f (0), f (3), and f (-2) and write the corresponding ordered pairs. 97. 9x - 2y = 10 98. 7x + 14y = 4 Solve each problem. 99. Brasil has a new job as a computer information analyst. His starting salary is $52,000. He will receive a raise of $1600 each year he works with the company. a. Write a linear function f (x) that represents Brasil’s salary, where x is the number of years he has worked with the company. b. Find f (5) and interpret the answer. 100. Lois has a new job as a math instructor at a local community college. Her starting salary is $41,500 with a regular teaching load of 30 credit hours. If she teaches beyond the regular load, she earns $950 per credit hour. a. Write a linear function f (x) that represents Lois’ yearly income, where x is the number of extra credit hours she teaches. b. If Lois teaches two additional 4-credit-hour courses, what is her income? c. Find f (6) and interpret the answer. 101. Lee registers for his first semester in college. His tuition includes fees of $565 plus $135 per credit hour. a. Write a linear function f (x) that represents Lee’s total tuition, where x is the number of credit hours Lee takes during the first semester. b. What is Lee’s tuition if he registers for 12 credit hours? c. Find f (15) and interpret the answer. 102. Aziz purchased a new car for $18,500. The car’s value decreases by $1250 each year. a. Write a linear function f (x) that represents the value of the car, where x is the age of the car in years. b. What is the car’s value after 4 yr? c. Find f (8) and interpret the answer. You Be the Teacher! Correct each student’s errors, if any. 103. Determine if each relation is a function. a. {(3, 1), (7, 5), (1, 2), (5, 2), (0, -2)} b. {(1, 3), (5, 7), (2, 1), (2, 5), (-2, 0)} Vivian’s work: a. a function and b. not a function 104. Find f (-3) if f (x) = 12x - 5. William’s work: f (-3) = -3(12x - 5) = -36x + 15 280 Chapter 3 Linear Equations in Two Variables


hendricks_beginning_algebra_1e_ch1_3
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