Chapter 8 Review1. (−4, ∞) 2. (−∞, 6] 3. [4, ∞) 4. (−16, ∞) 5. {3} 6. {3, 4} 7. 3 ≤ x ≤ 18 8. x > 8 or x < 5 9. 28, 36

10. −2, −22__3 11.9_2 , −2 12. ∅ 13. 2 ≤ y ory y ≤

2_3

14. −16__5 ≤ x ≤ 2 15. All real numbers 16. ∅ 17. 18.

19. 20. Domain = {2, 3}; Range = {0, −4, 1}; Not a function 21 Domain = {3, 4, 5};Range = {0, 2, −3}; Afunction 22. 3 23. 024 1 25. 9 26. 0 27. 40 28. 13 29. 1 30. 8_5 31. 29

Chapter 8 Cumulative Review

1. (−1, ∞) 2. [−2, 4] 3. x < −2 or x > 8_3 4. 1_4 < t <

5_4

5. 2.8 hours per day 6. 0.9 hours per day 7. −36 8. −4 9. 43 10. 169 11. 18 12. 54 13. 34 14. 33 15. x − 10 16. x2 + 2x + 5 17. 12z4zz + 24z3 − 16z2zz

18. 15x 2 − 14x − 8 19. 49__72 20.1__

96 21. 1_2 22.

53_9

23. −18 24. 7_6

25. 4 26. −8 27. 3, 1_3

28. − 1_2 29. (x − 3)(x + 5) 30. (5x + 2)(4x − 3) 31. y = 20 32. F = 3_2 33. 34.

35. 36.

37. m = 1_2

; b = −2 38. y = 2x + 6 39. y = 1_2

x + 4

40. y = 5_7

x − 13 41. a − 5____a − 6 42. x = −6

43. a. t = 1_2 sec _ b. t = 5_4 sec

_

Chapter 8 Test1. [−4, ∞) 2. [−12, ∞) 3. (−∞, 4) 4. (19, ∞) 5. 10, 14 6. −21, −7 7. −6, 0 8. ∅ 9. − 5_2 < y < −1 10. x ≤ −2 or x ≥ 1 11. All real numbers 12. ∅ 13. 3; −9; 3 14. 8; 4; −1_2 15. 10; −6;

3_5

16. −4; None; No slope 17. Domain = {0, 2, 6};Range = {3, 5, −4}; A function 18. Domain = All real numbers;Range = {y{ |y y ≥ 2}; A function 19. Domain = {0, −6};Range = {5, 7} 20. Domain = All real numbers; Range = All real numbers; A function 21. Domain = {x |x −2 ≤ x ≤ 2}; Range = {y{ | −1y ≤ y ≤ 2} 22. Domain = {x |x −2 ≤ x ≤ 2}; Range = {y{ | −3y ≤ y ≤ 3} 23. −16 24. 11 25. −12 26. −9 27. 2 28. −1 29. 3 30. 1

x x

y

x

4x −

3y =

−12

x

y

xy =

2 3 x −

2 x

y