Chapter 3 Review Exercises 205 43. 44. 2 2 4 4 –2 –4 –2 –4 x y 2 2 4 4 –2 –4 –2 –4 x y Find the requested information. (See Objective 3.) 45. Use the graph of f (x) 46. Use the graph of f (x) to find f (3). to find f (-4). 2 2 4 4 6 8 –2 –4 x y 2 2 4 4 –2 –4 –2 –4 x y 47. Use the graph of g(x) 48. Use the graph of g(x) to find g(-3). to find g(3). 2 2 4 4 –2 –4 –2 –4 x y 2 2 4 4 –2 –4 –2 –4 x y 49. Find all x for which 50. Find all x for which c(x) = 0.75 given that c(x) = 4 given that c(x) is given by Y1. c(x) is given by Y1. 51. Find f (-4) if f (x) = 2x2 - x + 1. 52. Find f (0) if f (x) = 3 - 2x2. Solve each problem. (See Objective 4.) 53. The estimated number of AIDS cases diagnosed can be modeled by the equation d(x) = 222x 3 - 2712x 2 + 9812x + 27,565, where x is the number of years after 2000. Find d(8) and interpret the result. (Source: http://www.cdc.gov) 54. The percentage of smokers among adults age 18 and over is modeled by the equation k(x) = -0.44x + 23.11, where x is the number of years after 2000. Find all x for k(x) = 17.83 and interpret the result. (Source: National Center for Health Statistics) SECTION 3.4 Find the domain and range of each function. (See Objective 1.) 55. The temperature (in degrees Fahrenheit) in New York, on June 26, 2010, is a function of time of day. (Source: www.accuweather.com) 6 7 8 9 10 82° 80° 79° 78° 56. The temperature (in degrees Fahrenheit) for Chicago, Illinois, is a function of the date. (Source: www.weather.com) 26 27 28 29 30 74° 88° 84° 80° 57. {(-5, -4), (-1, -2), (0, 11), (2, 13)} 58. {(-4, 1), (-3, 3), (-2, 0), (4, 8)} 59. 60. 2 2 4 4 –2 –4 –2 –4 x y 2 1 4 2 –2 –2 –1 –4 x y 61. 62. 2 2 4 4 –2 –4 –2 –4 x y 2 2 4 4 –2 –4 –2 –4 x y
hendricks_intermediate_algebra_1e_ch1_3
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