162 Chapter 3 Graphs, Relations, and Functions Graph each equation. (See Objective 3.) 39. y = x - 5 40. y = x + 1 41. y = 2x - 3 42. y = 3x + 4 43. y = x2 - 5 44. y = -x2 + 2 45. y = |x + 2| 46. y = |x + 5| 47. y = -|x| + 1 48. y = -|x - 4| The graph of y = (x - 2)2 - 4 is shown. In Exercises 49–52, use the graph to determine if the ordered pair is a solution of the equation. (See Objective 4.) 49. (0, -1) 50. (4, 0) 51. (3, -3) 52. (5, 6) The graph of y = - 2|x + 5| + 2 is shown. In Exercises 53–56, use the graph to determine if the ordered pair is a solution of the equation. (See Objective 4.) 53. (-5, 2) 54. (0, -4) 55. (-2, -3) 56. (-7, -2) Find the midpoint of each line segment formed by the given ordered pairs. (See Objective 5.) 57. (-7, -2) and (3, 6) 58. (-4, 3) and (0, 5) 59. (1, -2) and (4, 9) 60. (2, -5) and (3, 8) 61. a3 5 , -4b and a- 1 2 , 6b 62. a- 2 3 , 1b and a1 4 , -3b 63. a5 6 , -1b and a- 1 2 , 5b 64. a- 7 8 , -4b and a- 3 4 , 2b Solve each problem. (See Objective 6.) 65. The table shows the mean SAT mathematics score for college-bound Georgia seniors for the given years. (Source: The College Board) Years after 1975 0 5 10 15 20 25 30 Mean SAT math score 498 492 500 501 506 514 520 a. Plot each pair of points, where x is the year and y is the mean SAT mathematics score. b. Interpret the meaning of the first and last ordered pairs in the table. c. What can you conclude, if anything, about the mean SAT score? 66. The table shows the mean SAT critical reading score for college-bound Georgia seniors for the given years. (Source: The College Board) Years after 2002 0 1 2 3 4 5 6 Mean SAT critical reading score 504 507 508 508 503 502 502 a. Plot each pair of points, where x is the year and y is the mean SAT critical reading score. b. Interpret the meaning of the first and last ordered pairs in the table. c. What can you conclude, if anything, about the mean SAT score? 67. The table shows the total number (in thousands) of Honda automobiles sold for the years 2006 to 2010. (Source: http://world.honda.com/investors/library/annual_report/) Years after 2006 0 1 2 3 4 Thousands of Honda automobiles sold 3391 3652 3925 3517 3392 a. Write the ordered pairs that represent the given data, where x is the number of years after 2006 and y is the total number of units of Honda automobiles sold. b. Create a scatter plot of the data. c. What can you conclude about Honda automobile sales? 68. The table shows the percent of the labor force that is unemployed (not seasonally adjusted) in California for the years 2004 to 2011. (Source: U.S. Bureau of Labor Statistics) Years after 2004 0 1 2 3 4 5 6 7 Percent unemployed 7 6.2 5.3 5.4 6.4 10.3 13.2 12.4 a. Write the ordered pairs that represent the given data, where x is the number of years after 2004 and y is percent of the labor force that is unemployed in California. b. Create a scatter plot of the data. c. What can you conclude about the percent of the labor force that is unemployed in California? 2 2 4 4 6 –2 –2 –4 x y 4 4 –4 –16 –12 –8 –4 –8 –12 x y
hendricks_intermediate_algebra_1e_ch1_3
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