Exam Review Chapters 2-6

1. Find the exact value of sin 240° a) ½ b) -½ c)d)

2. Find the exact value of the arccos (-1/2) a) 120° b) - 60° c) - 30° d) 150°

3. Write the equation for the graph below: a)b)c)d)

4. Solve: a) x = -4, 7 b) x = -7, 4 c) x = 4, 7 d) x = -4, -7

5. Divide Divide by x + 1. by x + 1.a)b)c)d)

6. Find the inverse a)b)c)d)

7. Find the domain: Find the domain: a) (-∞, -5) U (4,∞) b) (- 5, 4) c) (-∞, -4) U (5, ∞) d) (-4, 5)

8. Solve for x: a) x = - 6, 1 b) x = - 1, 6 c) x = - 2, 3 d) x = - 3, 2

9. Simplify: Simplify: a) sin β b) - sin β c) cos β d) - cos β

10. What is the asymptote for the graph of y = - log(x+3)? y = - log(x+3)? a) x = - 3c) x = 0 b) x = 3d) y = 0

11. Find the exact value of a) c) b)d)

12. Find the exact value of Find the exact value of a) b) -1 c) d)

13. Convert 200° to Convert 200° toradians. a) b) c) d)

14. Solve: a) x = 6b) x = 9 c) x = -2c) x = 2/3

15. Find the exact value of Find the exact value of cos 70° cos 70° sin(-20°) sin(-20°) a) 1b) -1 c) 0d) cot 50°

16. Graph: Graph: a)b) c)d)

17. Find the exact value of a) b) c) 0d) π

18. Find the domain: a) (2, ∞)b) x ≠ 6, -3 c) x ≠ 6d) (-∞, 2)

19. Evaluate: a) 1/5b) 5 c) 1d) -1

20. Simplify: Simplify: a) b) c) d) 2

21. Simplify:a)b)c)d)

22. Find the arc length of a circle with a radius of 4 feet and a central angle of 210°. a) b) c)d)

23. Find all the zeros of the function: a)b) c)d)

24. Graph: a)b) c)d)

25. Find the exact value of cos 105°. Find the exact value of cos 105°. a)b) c)d)

26. What is the x-intercept of 4x + 3y = 12? a) x = 3 b) (0, 4) c) (-3, 0) d) (3, 0)

27. What is the period of y = 4 csc 3x ? a)b) c)d)

28. Solve: a)b) c)d)

29. Find the exact value of cos110°sec110°. Find the exact value of cos110°sec110°. a) -1 b) 0 c) 1 d) cot 110°

30. Factor: a) prime b)c)d)

31. Find all the zeros: a) b) c) d)

32. Evaluate:a)b)c)d)

33. a)4x - 9b) 4x - 6 c)4x + 9d) 4x + 6

34. Expand:a)b)c)d)

35. Find the domain: a)(-∞, ∞)b) (0, ∞) c)(-∞, 0)d) (2, ∞)

36. What is the asymptote for y = ln (x+4) – 1 ? a) y = 0b) y = - 1 c) x = 0d) x = - 4

37. Graph: a) b) c) d)

38. What is the remainder when is divided by a)7b) -13 c)-29d) -9

39. a) b) c) d)

40. How much money will you have after 5 years if you invest $500 in a money market that pays 8% interest compounded quarterly? How much money will you have after 5 years if you invest $500 in a money market that pays 8% interest compounded quarterly? a) $19,168.80b) $ c) $27,299.10d) $745.91

41. Where are the asymptotes in the graph y = 2 sec (x – π) ? Where are the asymptotes in the graph y = 2 sec (x – π) ? a) At multiples of π b) At multiples of π/2 c) At odd multiples of π d) At odd multiples of π/2

42. Find a polynomial f(x) of degree 4 whose coefficients are real numbers and whose zeros are 3, -1, and 2 + i. Find a polynomial f(x) of degree 4 whose coefficients are real numbers and whose zeros are 3, -1, and 2 + i.a)b)c)d)

43. Find the exact value of Find the exact value of a)b) c)d)

44. Evaluate: ln 1 a) 0 b) e c) -1 d) -e

45. Find the vertex and the axis of symmetry: Find the vertex and the axis of symmetry: a) (2, -3) x = 2 b) (-2, -3) x = -2 c) (2, 3) x = 2 d) (-2, 3) x = -2

46. Find the cot θ if cos Θ = -.8 and π/2 < Θ < π. Find the cot θ if cos Θ = -.8 and π/2 < Θ < π. a)3/5b)-3/4 c) 5/3d) -4/3

47. What is the phase shift of the graph of y = 2sin(3x+π)? What is the phase shift of the graph of y = 2sin(3x+π)? a) left π/3b) right π/3 c) left πd) right π

48. Evaluate: Evaluate: a) Undefined b) 0 c) -1 d) 1

49. Graph: y = - |x+1| a) b) c) d)

50. Find the exact value of Find the exact value of a)b) c)d)