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Exam Review

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)

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Exam Review

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  1. Exam Review Chapters 2-6

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

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

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

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

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

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

  8. 7. Find the domain: • (-∞, -5) U (4,∞) • (- 5, 4) • (-∞, -4) U (5, ∞) • (-4, 5)

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

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

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

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

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

  14. 13. Convert 200° to radians. a) b) c) d)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  40. 39. a) b) c) d)

  41. 40. How much money will you have after 5 years if you invest $500 in a money market that pays 8% interest compounded quarterly? a) $19,168.80 b) $742.97 c) $27,299.10 d) $745.91

  42. 41. 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

  43. 42. 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)

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

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

  46. 45. 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

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

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

  49. 48. Evaluate: • Undefined • 0 • -1 • 1

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

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