Graphing Square Root Functions

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Presentation transcript:

Graphing Square Root Functions ALGEBRA 1 LESSON 11-6 pages 616–619 Exercises 1. x 2 2. x 3. x 0 4. x –7 5. x –3 6. x 5 7. x – 8. x –2 9. x 13. x y 0 0 3 3 5.3 4 14. x ƒ(x) 1 3 4 6 15. x y 1 –3 4 –6 > – 10. x y 0 0 2 2 4.5 3 11. x ƒ(x) 1 2 4 4 12. x y 2 0 3 2 6 4 > – 3 4 > – > – > – > – 5 3 > – > – > – 4 3 11-6

Graphing Square Root Functions ALGEBRA 1 LESSON 11-6 22. 23. 24. 25. 26. 27. 16. h v 0 0 1 8 4 16 17. D 18. A 19. C 20. B 21. 11-6

Graphing Square Root Functions ALGEBRA 1 LESSON 11-6 28. 29. 30. x 4; y 0 31. x 4; y 0 32. Form an inequality setting the radicand 0. Solve for x. Answers may vary. Sample: y = x – 2 Domain: x – 2 0 x 2 33. a-d. Answers may vary. Samples: a. y = x + 2 b. y = x + 2 c. y = 2 x d. Check students’ work. 34. Translate the graph of y = x 8 units to the left. 35. Translate the graph of y = x 10 units down. 36. Translate the graph of y = x 12 units up. 37. Translate the graph of y = x 9 units right. > – > – < – > – > – > – > – 11-6

Graphing Square Root Functions ALGEBRA 1 LESSON 11-6 38. x y 2.5 0 3.5 1 6.5 2 39. x ƒ(x) 0 0 1 4 2 5.7 4 8 40. x y –6 0 –5 1 –2 2 0 2.4 41. x y 0 0 2 1 4 1.4 8 2 42. x y 2 3 3 4 6 5 43. x ƒ(x) –2 –4 –1 –3 2 –2 11-6

Graphing Square Root Functions ALGEBRA 1 LESSON 11-6 44. x y 0 3 1 4.4 2 5 3 5.4 45. x y –3 1 –2 2.4 –1 3 0 3.4 46. x y 1 –2 2 –0.3 3 0.4 4 1 47. B 48. D 49. A 50. C 51. a. p > 0 b. c. about 45 lb/in.2 52. a. no b. Answers may vary. Sample: The graph of y = x is the first quadrant of the graph of x = y2. c. y = – x 53. y = 3 x rises more steeply because 3 x > 3x for all positive values of x. 54. False; x must equal 81. 55. False; only combine like terms. 56. true 57. False; x = –1. 11-6

Graphing Square Root Functions ALGEBRA 1 LESSON 11-6 58. a. about 213 cameras b. month 4 59. a. b. y = |x| + 5 60. Translate the graph of y = x right 2 units and up 3 units. 61. a. i. ii. iii. iv. b. The greater the absolute value of n, the steeper the graph. If n < 0, then the graph lies in Quadrant II. If n > 0, the graph lies in Quadrant I. 11-6

Graphing Square Root Functions ALGEBRA 1 LESSON 11-6 62. Check students’ work. 63. B 64. H 65. C 66. H 67. B 68. H 69. [2] x y 6 0 7 1 8 1.4 9 1.7 10 2 [1] incorrect coordinates on graph 70. 16 71. 7 72. 169 73. 14.76 74. no solution 75. 76. , 77. 4 – 39, 4 + 39 78. no solution 79. , 2 3 –2 – 3 2 2 –2 + 3 2 2 –1 – 11 3 –1 + 11 3 11-6

Graphing Square Root Functions ALGEBRA 1 LESSON 11-6 80. no solution 81. , 82. (2x + 1)(x – 4) 83. (3x – 5)(x + 2) 84. (2x + 1)(2x + 9) 85. 2(x – 8)(x + 3) 86. 4(x2 – x – 15) 87. x(x – 13)(x + 1) –13 – 421 18 –13 + 421 18 11-6