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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 {2, 5}, the range is {-4, 1, 3}, 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 {-4, 1, 3}, the range is {2, 5}, and the relation is not a function. |
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Hint |
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2. |
Which is the graph of the inequality y  |x - 3|? |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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3. |
Which of the following shows the system of equations using a matrix equation? |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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4. |
The function f(x) = 3x2 - x3 has critical points at x = 0 and x = 2. Determine whether each of these critical points is the location of a relative maximum, relative minimum, or a point of inflection. |
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A. |
(0, 0) minimum and (2, 4) point of inflection |
B. |
None of these is correct. |
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C. |
(0, 0) maximum and (2, 4) minimum |
D. |
(0, 0) minimum and (2, 4) maximum |
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Hint |
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5. |
Use the parent graph f(x) =  to graph the function
k(x) =  ; identify the new location of each asymptote. |
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A. |
x = 2 |
B. |
y = 2 |
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C. |
x = 5 |
D. |
y = 5 |
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Hint |
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6. |
State the degree of the polynomial function f(x) = x4 - 2x2 + 3x - 1. |
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A. |
5 |
B. |
2 |
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C. |
3 |
D. |
4 |
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Hint |
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7. |
Solve sin2 x - sin x + 1 = cos2 x for 0  x < 2 . |
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A. |
0,  ,  |
B. |
0, , , |
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C. |
0, ,  , |
D. |
0,  , , |
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Hint |
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8. |
Find the rectangular coordinates of the point  |
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A. |
(4, 4) |
B. |
(0, 4) |
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C. |
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D. |
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Hint |
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9. |
Find the distance between P(5, -3) and the line with equation
5x + 12y = 18. |
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A. |
 |
B. |
 |
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C. |
13 |
D. |
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Hint |
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10. |
If M(5, -4) is the midpoint of  and C has coordinates (9, -2), find the coordinates of D. |
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A. |
(1, -6) |
B. |
(-6, 1) |
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C. |
(7, -3) |
D. |
(-3, 7) |
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Hint |
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11. |
Write the equation of the ellipse whose foci are at (-3, 0) and (3, 0) and
a = 5. |
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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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12. |
Write the general term of the series  . |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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13. |
What is the value of y when x = 2? |
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A. |
0 |
B. |
2 |
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C. |
undefined |
D. |
1 |
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Hint |
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14. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y  -3x + 1
y  x - 4
x 0
y 0 |
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A. |
infeasible |
B. |
alternate optimal solutions |
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C. |
2 |
D. |
unbounded |
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Hint |
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15. |
Graph the function  |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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16. |
Use the sum or difference identity for cosine to find the exact value of cos 105° |
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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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17. |
Two vectors  and  are perpendicular if ________. |
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A. |
their inner product is v1w1 +v2w2 |
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B. |
their dot product is equal to their cross product |
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C. |
their cross product equals zero |
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D. |
their inner product equals zero |
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Hint |
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18. |
Write the equation  in rectangular form. |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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19. |
Find the third term of the expansion of (6s + 2t)4. |
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A. |
864s2t2 |
B. |
144s2st2 |
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C. |
6s2t2 |
D. |
72s2t2 |
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Hint |
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20. |
In Mrs. Lerman's classroom, 75% of the students wear watches, 30% wear eyeglasses, and 20% wear both watches and eyeglasses. A student is called to the board to explain a concept. If the student wears a watch, what is the probability that the student also wears eyeglasses? |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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