276 CHAPTER 2 Graphs and Functions Connecting Graphs with Equations Give a rule for each piecewise-defined function. Also give the domain and range. 35. 1 –1 y x 0 36. 1 y x 0 37. 2 y x 0 2 –2 38. 2 y x 0 2 –2 39. x y 1 2 1 2 –2 –1 –1 –2 0 (–1, –1) (2, 2) 40. x y 2 2 4 –4 –2 –2 0 (–3, –3) (4, 2) (1, 1) 41. –8 –6 –4 –2 2 –2 2 3 x y 0 (2, 3) (1, 2) (–1, –1) (–8, –2) 42. x y 1 2 3 2 3 4 –4–3 –2 –1 –3 0 –4 (1, –1) (2, 3) (Modeling) Solve each problem. See Example 4. 57. Taxi Fare For a trip of x miles, a taxi company charges ƒ1x2 = 2.40 + 0.6Œ4xœ dollars. (a) What is the cost of a 3.7-mile trip? (b) What is the drop charge, the fee applied as soon as the passenger enters the taxi? (c) What is the distance charge for each quarter-mile traveled? Graph each function. Give the domain and range. See Example 3. 53. ƒ1x2 = Œ -xœ 54. ƒ1x2 = -Œxœ 55. ƒ1x2 = Œ2xœ 56. g1x2 = Œ2x - 1œ Find the value of the function for the given value of x. See Example 3. 43. ƒ1x2 = Œxœ, for x = 1.99 44. ƒ1x2 = Œ0.5xœ, for x = 7 45. ƒ1x2 = -Œ -xœ, for x = 2.5 46. ƒ1x2 = 2 - Œ -xœ, for x = 3.7 47. ƒ1x2 = fi x 4fl , for x = 7 48. ƒ1x2 = fi 3 - x 2fl , for x = 1 49. ƒ1x2 = Œxœ, for x = -p 50. ƒ1x2 = Œxœ, for x = -22 51. f1x2 = e 5 if 0 6x … 2 20 - 3Œ2 - 4xœ if x 72 , for x = 5.6 52. f1x2 = e 3 if 0 6x … 4 10 - 2Œ5 - xœ if x 74 , for x = 6.2
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