48. Find all x for which f (x) = -2 if f (x) = -12x + 5. 49. Find all x for which g (x) = 9 if g (x) = |x + 3|. 50. Find all x for which g (x) = 8 if g (x) = |x + 1|. 51. Use the graph of f (x) 52. Use the graph of f (x) to find all x for which to find all x for which f (x) = 2. f (x) = 0. 2 2 4 4 6 8 –2 –2 –4 x y 2 2 4 4 –2 –4 –2 –4 x y 53. Use the graph of h (x) 54. Use the graph of h (x) to find all x for which to find all x for which h (x) = 4. h (x) = 1. 6 2 2 4 4 6 8 –2 x y 2 2 4 4 6 8 –2 –2 –4 –6 x y 55. Find f (-1) if the 56. Find f(-2) if the function f (x) is given function f (x) is given by Y1. by Y1. 57. Find all x for which 58. Find all x for which f (x)=-2 given that c(x)=-10.5 given f (x) is given by Y1. that c(x) is given by Y1. 59. Find all x for which k(x) = 16 if k(x) = x 2. 60. Find all x for which k(x) = 25 if k(x) = x 2. Use the given function to solve each problem. (See Objective 4.) 61. The life expectancy for all sexes and races can be modeled by the equation f (x) = 0.000158x3 - 0.0104x2 + 0.372x + 70.813, where x is the number of years after 1970. Find f (30) rounded to the nearest whole number and interpret its meaning. (Source: National Center for Health Statistics) 62. For Exercise 61, find f (15) rounded to the nearest whole number and interpret its meaning. 63. The number of twin births (in thousands) in the United States can be modeled by the equation f (x) = 0.0204x2 + 1.906x + 67.8596, where x is the number of years after 1980. Find f (39) rounded to the nearest whole number and interpret its meaning. (Source: http://www.cdc.gov) 64. For Exercise 63, find f (20) rounded to the nearest whole number and interpret its meaning. 65. The percentage of middle school students who currently use a tobacco product can be modeled by the equation, m(x)=-0.92x + 15.17, where x is the number of years after 2000. Find m(10) rounded to the nearest whole number and interpret its meaning. (Source: National Youth Tobacco Survey) 66. For Exercise 65, find m(12) rounded to the nearest whole number and interpret its meaning. 67. The percentage of high school students who currently use a tobacco product can be modeled by the equation h(x)=-0.14x 3 + 1.5x 2 - 5.6x + 34.5, where x is the number of years after 2000. Find h(4) rounded to the nearest whole number and interpret its meaning. (Source: National Youth Tobacco Survey) 68. For Exercise 67, find h(8) rounded to the nearest whole number and interpret its meaning. Mix ’Em Up! Determine if each relation is a function. 69. {(-9, 4), (-5, 4), (0, 4), (1, 4)} 70. {(-2, 15), (0, -15), (2, 9), (3, -8), (3, 9)} 71. 72. 6 2 2 4 4 –2 –4 –2 –4 x y 12 4 –4 –2 2 x 8 4 –4 y 188 Chapter 3 Graphs, Relations, and Functions
hendricks_intermediate_algebra_1e_ch1_3
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