please do Section 3-4, pages 156-57, exercises 16, 20, 22, 24, 26, 28, 32, 42

Practice Graph each function and its inverse. 15. /(x) = x+ 2 16. /(x) = 12xl 17. /(x) = x3 - 2 18. /(x) = x5 - 10 19. /(x) = Ixl 20. /(x) = 3 21. /(x) = x2+ 2x + 4 22. /(x) = -(x + 2)? -5 23. /(x) = (x + 1)2 -4 24. For /(x) = x2 + 4, find / '(x). Then graph ((x) and /-1(x). Find f-1(x). Then state whether f-1(x] is a function. 25. /(x) = 2x + 7 26. /(x) = -x - 2 27. /(x) = 1 28. /(x) = _1 29. /(x) = (x - 3)2 + 7 30. /(x) = x2 - 4x + 3 32. /(x) =- 33. /(x) = -7 2 31. /(x) = x + 2 (x - 1)2 (x - 2)3 34. If g(x) = 2 +2: find g 1(x). Graph each equation using the graph of the given parent function. 35. /(x) = Vx + 5, p(x) = x2 36. y = 1 = Vx - 2, p(x) = > 37. /(x) = -2 - Vx + 3, p(x) = x3 38. y = 2Vx - 4, p(x) = 15 Given /[x], find f-1(x]. Then verify that fand f-1 are inverse functions. 39. /(x) = - 2 1 40. ((x) = (x - 3)3 + 4 156 Chapter 3 The Nature of Graphs www.amc.glencoe.com/self_check_quiz CONTENTS Applications 41. Analytic Geometry The function d(x) = |x - 4| gives the distance between x and Problem and 4 on the number line. Solving a. Graph d-1(x). b. Is d (x) a function? Why or why not? c. Describe what d-1(x) represents. Then explain how you could have predicted whether d'(x) is a function without looking at a graph. 42. Fire Fighting The velocity o and maximum height h of water being pumped into the air are related by the equation o = V2gh where g is the acceleration due to gravity (32 feet/second-). a. Determine an equation that will give the maximum height of the water as a function of its velocity. b. The Mayfield Fire Department must purchase a pump that is powerful enough to propel water 80 feet into the air. Will a pump that is advertised to project water with a velocity of 75 feet/second meet the fire department's needs? Explain