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1. |
The domain of a relation is all positive integers less than 4. The range of y or the relation is 2 plus x, where x is a number of the domain. Write the relation as a table of values and as an equation. |
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A. |
None of these. |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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2. |
Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2). |
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A. |
-3 |
B. |
5 |
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C. |
37 |
D. |
-35 |
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Hint |
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3. |
Find a linear equation that can model the data shown in the graph. |
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A. |
2x + 5y - 3 = 0 |
B. |
2x -3y + 6 = 0 |
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C. |
3x - 2y + 6 = 0 |
D. |
2x + 3y + 6 = 0 |
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Hint |
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4. |
Write the standard form of the equation of the line that passes through the point (-1, 3) and is parallel to the graph of 2x - 7y + 1 = 0. |
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A. |
2x - 7y + 23 = 0 |
B. |
2x + 7y - 23 = 0 |
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C. |
2x + 7y + 23 = 0 |
D. |
2x - 7y - 23 = 0 |
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Hint |
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5. |
The math scores, x, and chemistry scores, y, for six students are given in the table. Use a graphing calculator to find the Pearson product-moment correlation. |
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A. |
about 0.74 |
B. |
about 0.68 |
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C. |
about 0.65 |
D. |
about 0.71 |
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Hint |
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6. |
If A =  , find -2A. |
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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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7. |
Which of the following is a graph of the inequalities
l + g > 100 and l > 70? |
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A. |
 |
B. |
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C. |
 |
D. |
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Hint |
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8. |
If the lumber mill can turn out 900 units of product each week and must produce 100 units of lumber and 400 units of plywood, graph the systems of inequalities. Let
x = units of lumber, and y = units of plywood. |
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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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9. |
Which is an even function? |
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A. |
y = x2 |
B. |
y = -x |
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C. |
y = 2x - 1 |
D. |
y = x |
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Hint |
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10. |
If y varies jointly as the square of x and the cube of z and y = 9 when x = 3 and z = 4, find y when x = 8 and z = 5. |
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A. |
40 |
B. |
45 |
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C. |
125 |
D. |
100 |
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Hint |
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11. |
Solve  = 3. |
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A. |
2 |
B. |
-1 |
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C. |
3 |
D. |
2, 3 |
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Hint |
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12. |
A security light is being installed outside a loading dock. The light is mounted 25 feet above the ground. The light must be placed at an angle so that it illuminates a parking lot. If the end of the parking lot is 125 feet from the loading dock, what should be the angle of depression of the light? |
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A. |
about 78.7° |
B. |
about 11.5° |
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C. |
about 78.5° |
D. |
about 11.3° |
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Hint |
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13. |
Determine the number of solutions for  , given a = 2, b = 3,
and c = 6. |
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A. |
none |
B. |
one |
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C. |
two |
D. |
three |
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Hint |
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14. |
State the amplitude for the function y = - cos . |
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A. |
- |
B. |
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C. |
1 |
D. |
- |
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Hint |
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15. |
Write an equation of the cosine function with amplitude 3 and period 9 . |
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A. |
y = ±3 cos  |
B. |
y = ±3 cos  |
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C. |
y = ±3 cos 3 |
D. |
y = ±3 cos  |
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Hint |
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16. |
Suppose the equation  models a buoy bobbing up and down in the water. The equilibrium point is y = 0. Describe the location of the buoy when t = 7. |
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A. |
6 units below equilibrium |
B. |
6 units above equilibrium |
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C. |
3 units below equilibrium |
D. |
3 units above equilibrium |
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Hint |
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17. |
Which function does not have a zero? |
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A. |
f(x) = 3x + 5 |
B. |
f(x) = x - 5 |
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C. |
f(x) = –5x +3 |
D. |
f(x) = -5 |
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Hint |
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18. |
Given the function f(x) = x2 - 8x + 16, find the inverse. |
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A. |
f -1 = 4  |
B. |
f -1 = x - 2 |
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C. |
f -1 = x - 4 |
D. |
f -1 = (x - 4)2 |
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Hint |
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19. |
Determine the equation of the vertical asymptote for the function:
f(x) =  + 2. |
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A. |
x = -2 |
B. |
y = 0 |
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C. |
x = 0 |
D. |
x = 2 |
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Hint |
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20. |
Which best describes this graph? |
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A. |
direct variation |
B. |
inverse variation |
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C. |
joint variation |
D. |
none of these |
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Hint |
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