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Relations and Functions ALGEBRA 2 LESSON 2-1 Pages 59–61 Exercises 2. 4. 6. (–2, 3), (0, 1), (2, –1), (3, –2); domain {–2, 0, 2, 3}, range {–2, –1, 1, 3} 7. (–2, 0), (–1, 2), 9. (0, 3), (1, 2), (2, 0); domain {–2, –1, 0, 1, 2}, range {0, 2, 3} 11. 13. function 19. Function 27. -13, -9, -2, 5 17. Not a function 25. –2, –4, –7.5, –11 15. Function 21. Function 29. 2-1 Relations and Functions ALGEBRA 2 LESSON 2-1 x 31. y = 39.37 ; 1.50 m 39. domain {–3.2 x 3.2}, range {–1 y 1}; not a function 33. 35. domain {–4, –3, –2, –1}, range {1, 2, 3, 4} 3 1 3 5 } 2 2 2 2 domain { – , , , range { – 1 , 1 2 2 } 37. domain {–2, –1, 0, 9}, range {2, 5, 7}; not a function 53. 7 2-1 Linear Equations ALGEBRA 2 LESSON 2-2 Pages 67–71 Exercises 1. 3. 5. 11. -1 13. 3 1 15. − 5 17. Undefined 17 19. 5 5 21. 6 𝑋 − 𝑌 = 2-2 19 3 Linear Equations ALGEBRA 2 LESSON 2-2 23. 𝑦 = −2 25. 5𝑥 − 𝑦 = −2 5 27. 𝑦 − 0 = 4 𝑥 − 1 4 29. 𝑦 + 1 = − 3 𝑥 − 0 7 31. 𝑦 − 9 = − 5 (𝑥 − 1) 3 33. 2 35. −𝐴 𝐵 37. 0 Linear Equations ALGEBRA 2 LESSON 2-2 38. y = –3x – 5 40. y = 10 39. y = 5 x + 13 2 2 41. x = 1 2-2 Linear Equations ALGEBRA 2 LESSON 2-2 69. a. I, II did; III did not; b. I and III c. II 70. Vertical lines cannot be graphed by this method. 2-2 Linear Equations ALGEBRA 2 LESSON 2-2 3 2 74. y = – x – 1 79. yes 80. no 81. a. 75. 3x – 2y = 2 76. 9x + 3y = 2 77. 3x + 12y = –4 78. a–e. Check students’ work. The polygon is a rectangle. b. y = 3x + 6 c. y = – 1 x + 8 3 3 d. They are perpendicular. 2-2 82. The equation of the line connecting (1, 3) to (–2, 6) is y = –x + 4. The equation of the line connecting (1, 3) to (3, 5) is y = x + 2. The slopes are negative reciprocals so the lines are perpendicular. Therefore by def. of a right triangle it is a right triangle. Linear Equations ALGEBRA 2 LESSON 2-2 83. The slope of the line connecting (2, 5) to (4, 8) is 3 , (2, 5) to 2 84. p: y = 4x + 16 q: y = – 1 x + 13 4 4 90. B r:y=4 (5, 3) is – 2 , (4, 8) to 91. domain {–2, 1, 2, 3, 4}, range {–2, –1, 2, 3}; not a function 3 (7, 6) is – 2 , and 3 (5, 3) to (7, 6) is 3 . 2 Since the adjacent sides’ slopes are negative reciprocals they are perpendicular. By the def. of a rectangle, it is a rectangle. 89. C 92. domain {all reals}, range {all reals}; function 85. A 86. G 93. domain {–3, 0, 1, 7}, range {–10, –5, –1, 3}; not a function 87. C 88. B 2-2