Section 3.3 Functions 187 12. Several students complete a poll about the type of computer they own. The results are given in the mapping. c m t t t c m t 13. y = x + 3 14. y = 2x + 1 15. y = 1 - x 2 16. y = 3 + x 2 17. x = y 2 + 1 18. x = y 2 - 1 19. x = |y + 3| 20. x = |y - 2| 21. x = 2y 22. x = y + 5 23. y = (x - 9)2 24. y = (x + 4)2 25. y = |x + 6| 26. y = |x - 4| Use the vertical line test to determine if each relation is a function. (See Objective 2.) 27. 28. 4 2 2 4 6 8 –2 –2 –4 –6 x y 6 2 2 4 4 6 8 –2 x y 29. 30. 2 2 4 4 –2 –4 –2 –4 x y 2 2 4 4 –2 –4 –2 –4 x y 31. 32. 2 2 4 4 –2 –4 –2 –4 x y 2 2 4 4 –2 –4 –2 –4 x y 33. 34. 4 2 8 4 6 8 –4 –2 –8 x y 4 2 –2 –8 –6 –4 –2 –4 x y 35. 36. 6 2 –6 –4 –2 x 2 4 –2 y 2 2 4 4 –2 –4 –2 –4 x y Find the requested information. (See Objective 3.) 37. Find f (-1) if f (x) = 5x - 2. 38. Find f (-5) if f (x) = 6x - 1. 39. Find h(-7) if h(x)=-x 2. 40. Find h(3) if h(x) = 2x 2 + 9. 41. Find h(-10) if h(x) = |x - 10|. 42. Find h(-9) if h(x) = |3x + 20|. 43. Find f (3) from the 44. Find g (6) from the graph of f (x). graph of g (x). 4 2 8 4 6 8 –4 –2 –8 x y 2 2 4 4 6 8 –2 –2 –4 –6 x y 45. Find f (-2) from the 46. Find g (0) from the graph of f (x). graph of g (x). 4 2 2 4 –2 –4 –2 –4 x y 12 4 4 8 8 12 –4 –4 –8 x y 47. Find all x for which f (x) = 3 if f (x) = 4x + 7.
hendricks_intermediate_algebra_1e_ch1_3
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