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1. |
State the domain and the range of the relation {(1, 2), (-4, 2), and
(3, 5)}. Then state whether the relation is a function. |
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A. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is not a function. |
B. |
The domain is {-4, 1, 3},
the range is {2, 5}, and the relation is a function. |
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C. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is a function. |
D. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is not a function. |
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Hint |
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2. |
In 1999 Bob scored 824 points as a college basketball player by hitting 372 of his attempts. If he made 60% of his 200 3-point field goal attempts, how many 1-, 2-, and 3-point field goal baskets did he make? |
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A. |
(120, 40, 212) |
B. |
(212, 40, 120) |
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C. |
(40, 212, 120) |
D. |
(40, 120, 212) |
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Hint |
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3. |
Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis. |
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A. |
A'(7, -2), B'(-1, 3),
C'(-1, -4) |
B. |
A'(2, 7), B'(-1, 3), C'(4, 1) |
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C. |
A'(7, -2), B'(3, 1), C'(1, -4) |
D. |
A'(-7, -2), B'(-3, 1),
C'(-1, -4) |
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Hint |
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4. |
Find the inverse of  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Find the roots of the equation x4 - 3x2 - 4 = 0. |
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A. |
2i, -2i, 1, -1 |
B. |
i, -i, 2, -2 |
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C. |
i, -i, 1, -1 |
D. |
2i, -2i, 2, -2 |
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Hint |
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6. |
Solve the equation 2x2 -x + 4 = 0 by any method. |
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A. |
 i |
B. |
1  i |
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C. |
 i |
D. |
i |
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Hint |
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7. |
Solve  +  <  . |
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A. |
a < 0 or 0 < a < 5 |
B. |
0 < a < 5 |
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C. |
a < 0 or a > 5 |
D. |
a > 0 or 0 < a < 5 |
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Hint |
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8. |
The angle of elevation of a ladder leaning against a wall is 62°. The ladder is 40 feet long. How far is the base of the ladder from the wall? |
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A. |
about 18.78 ft |
B. |
about 85.20 ft |
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C. |
about 35.32 ft |
D. |
about 75.23 ft |
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Hint |
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9. |
State the period for the function  . |
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A. |
8 |
B. |
2 |
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C. |
16 |
D. |
4 |
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Hint |
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10. |
Graph y = 5 cos 2 for 1 period of the function. |
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A. |
 |
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B. |
 |
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C. |
 |
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D. |
 |
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Hint |
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11. |
Find Arcsin  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
- |
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Hint |
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12. |
Simplify cos x tan x. |
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A. |
1 |
B. |
cos x |
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C. |
sin x |
D. |
csc x |
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Hint |
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13. |
If csc  = 2, find sin . |
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A. |
 |
B. |
 |
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C. |
2 |
D. |
 |
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Hint |
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14. |
Express cot (-840°) as a trigonometric function of an angle in Quadrant I. |
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A. |
cot 60° |
B. |
- cot 60° |
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C. |
tan 60° |
D. |
- tan 60° |
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Hint |
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15. |
Complete the identity
sin sin (-) - cos  ___. |
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A. |
- cos 0 |
B. |
-1 |
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C. |
1 |
D. |
sin 0 |
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Hint |
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16. |
Use a half-angle identity to find the exact value of sin 67.5°. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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17. |
Suppose the equation  models the number of liters of air in the lungs of a gorilla at t seconds. Use a graphing calculator to graph the function with Xmin = 0 and Xmax = 10. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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18. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
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A. |
 = 2
 = 6
 = 12 |
B. |
= 2
= 6
= 42 |
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C. |
= 0
= 2
= 4 |
D. |
= 2
= 6
= 36 |
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Hint |
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19. |
If angles x and y are between 0° and 180° such that cos x = - and cos y =  , what is the value of sin (x + y)? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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20. |
If a vector has its initial point at the origin, it ________. |
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A. |
has a magnitude of zero |
B. |
is a scalar |
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C. |
has no direction |
D. |
is in standard position |
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Hint |
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