317 CHAPTER 2 Review Exercises 19. 6 0 6 x y 20. 3 0 4 x y 21. –1 1 0 x y 22. –2 2 x y 0 23. x y 0 2 3 24. x y 0 3 3 Determine whether each equation defines y as a function of x. 25. y = 6 - x2 26. x = 1 3 y2 27. y = {2x - 2 28. y = - 4 x Give the domain of each function. 29. ƒ1x2 = -4 + 0 x 0 30. ƒ1x2 = 8 + x 8 - x 31. ƒ1x2 = 26 - 3x 32. For the function graphed in Exercise 22, determine the largest open intervals over which it is (a) increasing, (b) decreasing, and (c) constant. Let ƒ1x2 = -2x2 + 3x - 6. Find each of the following. 33. ƒ132 34. ƒ1-0.52 35. ƒ102 36. ƒ1k2 Graph each equation. 37. 2x - 5y = 5 38. 3x + 7y = 14 39. 2x + 5y = 20 40. 3y = x 41. ƒ1x2 = x 42. x - 4y = 8 43. x = -5 44. ƒ1x2 = 3 45. y + 2 = 0 46. Concept Check The equation of the line that lies along the x-axis is . Graph the line satisfying the given conditions. 47. through 10, 52, m= - 2 3 48. through 12, -42, m= 3 4 Find the slope of each line, provided that it has a slope. 49. through 12, -22 and 13, -42 50. through 18, 72 and A1 2 , -2B 51. through 10, -72 and 13, -72 52. through 15, 62 and 15, -22 53. 11x + 2y = 3 54. 9x - 4y = 2 55. x - 2 = 0 56. x - 5y = 0 Find the center and radius of each circle. 15. x2 + y2 - 4x + 6y + 12 = 0 16. x2 + y2 - 6x - 10y + 30 = 0 17. 2x2 + 2y2 + 14x + 6y + 2 = 0 18. 3x2 + 3y2 + 33x - 15y = 0 For each graph, determine whether y is a function of x. Give the domain and range of each relation.
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