Relations and Functions

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Relations and Functions ALGEBRA 1 LESSON 5-2 pages 244–246  Exercises 1. {4, 5, 6}, {3, 6, 7, 19} 2. {–3, –2, 0, 4}, {5, 7, 8, 22} 3. {–2, 2, 3}, {–3, –2, 3} 4. {1}, {–7, 0, 5, 6.1, 10} 5. {–3.1, 1.2, 8.4}, {–5.2, 0, 4} 6. {– , , 4, 5}, {–1, 0, } 7. yes 8. no 9. no 10. yes 11. no 12. no 13. yes 14. no 15. 4 16. –34 17. 9 18. 12 19. 18 20. –7 21. – 22. 5 23. {0.5, 53} 24. {–8, –2, 18} 25. {–27, –7, –2, 8, 48} 26. {–4 , – , 0} 27. no 28. no 29. yes; {–4, –1, 0, 3}; {–4} 30. No; two 4-year-old iguanas may have different lengths. 31. Answers may vary. Sample: A relation is not a function if two range values have the same domain value. 1 2 3 4 2 3 1 2 3 5 3 4 5-2

Relations and Functions ALGEBRA 1 LESSON 5-2 38. yes 39. no 40. yes 41. a. Answers may vary. Sample: The cost appears to be far too little. b. Answers may vary. Sample: The student failed to convert hours to minutes. c. $10.80 d. whole numbers; positive numbers 42. a. 3,720,000 mi b. 11,160,000 mi 32. a. {–300, –210, 0, 72} b. Domain is the number of cameras sold, and range is the profit. 33. Answers may vary. Sample: Data represent the ages (x) and heights (y) of 4 students. 34. {–3, 3, 15.8} 35. {–13.8, –1, 5} 36. {–0.5, 0, 2.7} 37. {–0.75, 0, 12.69} 5-2

Relations and Functions ALGEBRA 1 LESSON 5-2 43. 23 44. 18 45. 6 46. 20 47. Yes, it passes the vertical line test; no, it doesn’t pass the vertical line test. 48. a. 0, –1, –2, –6 b. all integers 49. 5.25 50. 8.7 51. –3 52. 3 53. [2] Yes, the data represent a function. (OR graph shown) [1] shows calculation but no mapping diagram or graph 54. Labels may vary. Sample: 5-2

Relations and Functions ALGEBRA 1 LESSON 5-2 55. 30 mi 56. 22.5 mi 57. 7.5 mi 58. 48.75 mi 59. 82.5 mi 60. 108.75 mi 61. 33.5, 33.5, none, 3 62. – , 0, –2 and 1, 4 63. , 5, 5, 11 64. , 14, 13, 11 65. – , –7, –7, 8 66. 46.5, 46.5, 43 and 48, 10 1 5 52 9 117 8 47 8 5-2