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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 a function. |
B. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is not a function. |
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C. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is not a function. |
D. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is a function. |
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Hint |
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2. |
Write the standard form of the equation of the line that passes through the point (-4, -2) and is perpendicular to the graph of 3x - 2y + 9 = 0. |
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A. |
3x - 2y - 14 = 0 |
B. |
2x> + 3y - 14 = 0 |
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C. |
2x + 3y + 14 = 0 |
D. |
3x - 2y + 14 = 0 |
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Hint |
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3. |
Determine whether the function f(x) = is continuous at x = 1. |
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A. |
None is correct. |
B. |
Yes, the inability to divide by 0 has no bearing on this problem. |
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C. |
Yes, it is continuous at x = 1, but not at x = -1. |
D. |
No, because substituting x = 1 results in a denominator of 0. |
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Hint |
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4. |
Decompose into partial fractions. |
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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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5. |
If , find . |
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A. |
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B. |
3 |
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C. |
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D. |
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Hint |
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6. |
Find the area of if d =14.2, D = 33.6°, and E = 15.2°. |
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A. |
about 71.9 square units |
B. |
about 46.5 square units |
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C. |
about 35.9 square units |
D. |
about 62.1 square units |
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Hint |
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7. |
Given and a = 5, b = 2 and A = 115°, find B. |
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A. |
14.6° |
B. |
22.5° |
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C. |
31.7° |
D. |
21.3° |
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Hint |
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8. |
A bicycle wheel is 30 inches in diameter. If the wheel turns at a constant rate of 3 revolutions per second, what is the linear speed in miles per hour of a point on the tire? |
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A. |
about 19.5 mph |
B. |
about 13.7 mph |
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C. |
about 18.4 mph |
D. |
about 16.1 mph |
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Hint |
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9. |
Find Cos-1 . |
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A. |
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B. |
-1 |
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C. |
0 |
D. |
1 |
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Hint |
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10. |
Write the standard form of a line for which the length of the normal segment to the origin is 7 and the normal makes an angle of 120° with the positive x-axis. |
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A. |
x - y + 14 = 0 |
B. |
x + y + 14 = 0 |
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C. |
x + y + 14 = 0 |
D. |
x - y - 14 = 0 |
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Hint |
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11. |
What is the distance from the origin to the graph of 3x + 4y + 12 = 0? |
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A. |
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B. |
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C. |
5 |
D. |
12 |
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Hint |
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12. |
A twig bobs up and down in the water. It moves from its highest point down to its lowest point and back every 12 seconds. The distance between its highest and lowest points is 3.2 centimeters. Write a sine function that models the movement of the twig in relation to the equilibrium point. |
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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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13. |
Write the equation of the line that is parallel to 2x - 3y - 15 = 0 and that passes through the point (3,4). |
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A. |
2x - 3y + 6 = 0 |
B. |
2x - 2y + 6 = 0 |
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C. |
2x + 3y + 6 = 0 |
D. |
2x + 5 - 3 = 0 |
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Hint |
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14. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee.Graph the fee schedule for different account balances. |
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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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15. |
Find the minimum value of f(x, y) = x - 4y for the system of inequalities. 2x + y 3 2x + y -2 y 4 x < 1 |
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A. |
-17 |
B. |
-16 |
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C. |
-3 |
D. |
16 |
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Hint |
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16. |
Solve |3x + 5| - 4 < 2. |
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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. |
Graph the equation using the graph of the given parent function. y = 1 , p(x) = x2 |
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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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18. |
If y varies jointly as x and the cube root of z, and y = 30 when x = -5 and z = 27, find y when z = -8 and x = 0.5. |
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A. |
y = 4 |
B. |
y = 2 |
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C. |
y = -2 |
D. |
y = 20 |
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Hint |
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19. |
Find the value of cos (x - y) if 0 < x < , 0 < y < , sin x = , and cos y = . |
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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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20. |
PQR has vertices P(5, 8), Q(9, 5), and R(3, 2). Find the length of the altitude of PQR through point P ( PQR Is not a right triangle, so there is only one altitude through P). |
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A. |
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B. |
5 |
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C. |
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D. |
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Hint |
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