Section 2.7 Graphs of Functions 213 13. h1x2 14. k1x2 x x3 x h(x) 2 1 0 1 2 x k(x) 2 1 0 1 2 10 8 42 y 2 15. 16. p1x2 q1x2 1x x2 x q(x) 2 1 0 1 2 x p(x) 0 1 4 9 16 5 4 2 1 y 1 10 8 y 4 2 5 4 21 y 1 Concept 3: Definition of a Quadratic Function For Exercises 17–28, determine if the function is constant, linear, quadratic, or none of these. (See Example 3.) 17. 18. 19. 20. h1x2 k1x2 x 3 g1x2 3x 7 f x2 4x 12 1x2 2x23x1 2 3 1 4 4 3 t1x2 x x 3 10 8 y 2 1086 2 4 6 8 10 42 4 6 8 x 6 4 2 10 1 5 Q1x2 2 3x T1x2 w1x2 0x 10 0 r1x2 14 x 14 12 y 6 4 2 42 1086 2 4 6 8 10 2 4 6 x 10 8 5 4 y 1 543 1 2 3 4 5 21 2 3 4 5 x 3 2 1 21. 22. 23. 24. 25. 26. 27. 28. Concept 4: Finding the x- and y-Intercepts of a Graph Defined by y f (x ) For Exercises 29–36, find the x- and y-intercepts, and graph the function. (See Example 4.) 29. 30. 31. g1x2 f 6x 5 1x2 f 3x 12 1x2 5x 10 1 5x p1x2 3 1 4 n1x2 m1x2 0.8 5 43 1 2 3 4 5 2 3 4 5 x 3 2 1 1086 2 4 6 8 10 4 6 8 10 x 6 4 2 2 2 4 6 8 10 12 14 16 18 4 6 8 10 x 6 2 5 43 1 2 3 4 5 2 3 4 5 x 3 2 1
miller_intermediate_algebra_4e_ch1_3
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