Section 2.7 Graphs of Functions 211 Finding x- and y-Intercepts For the function pictured in Figure 2-43, estimate a. The real values of x for which f (x) 0. b. The value of f(0). Solution: a. The real values of x for which f (x) 0 are the x-intercepts of the function. For this graph, the x-intercepts are located at and b. The value of f(0) is the value of yat That is, f(0) is the y-intercept, f (0) 6. Skill Practice Use the function pictured. 10. a. Estimate the real value(s) of x for which f (x) 0 b. Estimate the value of f (0). x 0. x 2, x 2, x 3. Example 5 x y 5 4 3 2 1 54 321 1 2 3 4 5 1 2 3 4 5 y f (x) 54 321 1 2 3 4 5 Answer 10. a. 6 5 4 2 Figure 2-43 x 2, x 1, and x 4 b. f 102 4 x y 7 3 1 1 2 3 Section 2.7 Practice Exercises Study Skills Exercise Make up a practice test for yourself for this chapter. Use examples or exercises from the text. Be sure to cover each concept that was presented. Vocabulary and Key Concepts 1. a. A function that can be written in the form f(x) mx b,m 0, is a function. b. A function that can be written in the form f(x) b is a function. c. A function that can be written in the form f(x) ax2 bx c, a 0, is a function. d. The graph of a quadratic function is in the shape of a . e. To find the x-intercept(s) of a graph defined by y f(x), find the real solutions to the equation f(x) . f. To find the -intercept of a graph defined by y f(x), evaluate f(0). Review Exercises f 517, 32, 12, 32, 1g 5, 326 516, 12, 15, 22, 14, 32, 13, 426 2. Given: 3. Given: a. Is this relation a function? a. Is this relation a function? b. List the elements in the domain. b. List the elements in the domain. c. List the elements in the range. c. List the elements in the range.
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