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Function Rules, Tables, and Graphs

Function Rules, Tables, and Graphs. ALGEBRA 1 LESSON 5-3. pages 249–252  Exercises 1. C 2. A 3. B 4–12. Tables may vary. Samples are given . 4. 5. 6. 7. 8. 5-3. Function Rules, Tables, and Graphs. ALGEBRA 1 LESSON 5-3. 9. 10. 11. 12. 13. a. M = 3.5 h

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Function Rules, Tables, and Graphs

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  1. Function Rules, Tables, and Graphs ALGEBRA 1 LESSON 5-3 pages 249–252  Exercises 1. C 2. A 3. B 4–12.Tables may vary. Samples are given. 4. 5. 6. 7. 8. 5-3

  2. Function Rules, Tables, and Graphs ALGEBRA 1 LESSON 5-3 9. 10. 11. 12. 13.a.M = 3.5 h b–d. Answers may vary. Samples are given. b. c. d. about 8.5 h 5-3

  3. Function Rules, Tables, and Graphs ALGEBRA 1 LESSON 5-3 14. a. b. 15. 16. 17. 18. 19. 20. 5-3

  4. Function Rules, Tables, and Graphs ALGEBRA 1 LESSON 5-3 21. 22. 23. 24.a. b.P(t) = 2t + 2, 25. Answers may vary. Sample: Make a table to find values for ƒ(x) when x = –2, 0, and 2. Then graph the ordered pairs (x, ƒ(x)) and join the graphed points with a line. 26. 5-3

  5. Function Rules, Tables, and Graphs ALGEBRA 1 LESSON 5-3 27. 28. 29. 30. 31. 32. 33. 34. 5-3

  6. Function Rules, Tables, and Graphs ALGEBRA 1 LESSON 5-3 35. 36. 37. 38.a. 55.2 gal b. c. Check students’ work. d. Check students’ work. 39.a. dependent variable b. Input is to output as domain is to range. 40.a. b. 41.a. $.71 b. about 12 min 5-3

  7. 45.a. b. It makes the graph wider or narrower. 46.a. 1, 1, –1, –1 b. {–1, 0, 1} c. Tables may vary. Sample: d. No; s(3 + 5) = s(8) = 1 and s(3) + s(5) = 1 + 1 = 2; 1 = 2. / Function Rules, Tables, and Graphs ALGEBRA 1 LESSON 5-3 47. C 48. F 49. B 50. I 42.a. b.x-axis c.y = –|x| – 1 43. B 44.a. b. It changes the y-intercept. 5-3

  8. Function Rules, Tables, and Graphs ALGEBRA 1 LESSON 5-3 51.[2] The graphs of all equations go through the point (0, 3). y = x + 3 and y = x2 + 3 share points on the right side of the y-axis. Both sides of the graphs y = x2 + 3 and y = |x|+ 3 go upward, but y = |x| + 3 has straight lines and y = x2 + 3 has curved lines. [1] at least two of the graphs drawn correctly 52.[4] a. Tables may vary. Sample: b. [3] appropriate methods but one calculation error [2] correct table but an error in graph [1] table with no graph OR graph with no table 5-3

  9. 76.a. = , 25.375 ft b. = , 31.35 ft c. = , 16.1875 ft 7 8 x 29 7 8 x 35.833 7 8 x 18.5 Function Rules, Tables, and Graphs ALGEBRA 1 LESSON 5-3 53. {–5, 1, 11.5} 54. {–11, –5, 5.5} 55. {–6.5, 4, 10} 56. {–5, –3, –1.5} 57. {8.5, 12, 14} 58. {–20, –10, 7.5} 59. {–11, 1, 22} 60. {–9, –8, –6.25} 61. {–29.5, 9, 31} 62. 4, – 4 63. No sol.; 9 = 10 – 1 and |b| cannot be –1. 64. –3.6, 3.6 65. –7, 7 66. –7, 7 67. 4, –2 68. –7, –15 69. 1.5, –0.5 70. –1, –7 71. 48 km 72. 40 km 73. 100.8 km 74. 136 km 75. 163.2 km 5-3

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