Exam Review

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
• (-8, -5) U (4,8)
• (- 5, 4)
• (-8, -4) U (5, 8)
• (-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 ß
• b) - sin ß
• c) cos ß
• d) - cos ß

11
10.

• What is the asymptote for the graph of
• y - log(x3)?
• 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) p

19
18.

• Find the domain
• a) (2, 8) b) x ? 6, -3
• c) x ? 6 d) (-8, 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
  cos110sec110.
• 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) (-8, 8) b) (0, 8)
• c) (-8, 0) d) (2, 8)

37
36.

• What is the asymptote for y ln (x4) 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 p) ?
• a) At multiples of p
• b) At multiples of p/2
• c) At odd multiples of p
• d) At odd multiples of p/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 ? if cos T - .8 and p/2 lt T lt
  p .
• 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(3xp)?
• a) left p/3 b) right p/3
• c) left p d) right p

49
48.

• Evaluate
• Undefined
• 0
• -1
• 1

50
49.

• Graph y - x1
• a) b)
• c) d)

51
50.

• Find the exact value of
• a) b)
• c) d)