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1. |
Which is a graph of f(x) = |3x| - 1? |
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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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2. |
Use the function P(x, y) = 40x + 60y to determine how many of each item should be produced in order to maximize profit. |
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A. |
(500, 400) |
B. |
(100, 400) |
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C. |
(300, 500) |
D. |
(100, 800) |
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Hint |
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3. |
Which is the graph of y  x3 + 1? |
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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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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) maximum and (2, 4) minimum |
B. |
(0, 0) minimum and (2, 4) maximum |
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C. |
(0, 0) minimum and (2, 4) point of inflection |
D. |
None of these is correct. |
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Hint |
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5. |
Suppose y varies directly as x and y = 13 when x = 7. Find the constant of variation and write an equation. |
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A. |
k =  and y = 13 · 7x |
B. |
k = and y = x |
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C. |
k =  and y = 13 · 7x |
D. |
k = and y = x |
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Hint |
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6. |
Use the function of best fit, y = 0.9x + 1.3, to predict y when x = 5. |
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A. |
3.2 |
B. |
6.7 |
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C. |
5.8 |
D. |
2.3 |
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Hint |
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7. |
Which is not a true statement about the properties of the graph of
y = sin x? |
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A. |
The domain is the set of real numbers |
B. |
The range is the set of real numbers between -1 and 1, inclusive. |
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C. |
The period is  . |
D. |
The y-intercept is 0. |
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Hint |
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8. |
The magnitude of  is 41.3 meters and the magnitude of  is 53.6 meters. If and are perpendicular, what is the magnitude of their sum? |
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A. |
about 67.7 meters |
B. |
about 54.0 meters |
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C. |
about 34.2 meters |
D. |
about 41.9 meters |
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Hint |
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9. |
Write a matrix that will translate a triangular prism using the vector  . |
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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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10. |
Find the quotient  . Express the result in rectangular form. |
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A. |
4 |
B. |
-4 |
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C. |
-4i |
D. |
4i |
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Hint |
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11. |
Solve the system of equations x + 2 = 0 and y2 = 36 - x2 algebraically. Round to the nearest tenth. |
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A. |
(±2, 5.7) |
B. |
(-2, ±5.7) |
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C. |
(-2, 5.7) |
D. |
(-2, -5.7) |
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Hint |
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12. |
Find ln (-7) to four decimal places. |
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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. |
Determine whether 3x - 5y + 1 = 0 and 6x - 10y + 2 = 0 are parallel, coinciding, or neither. |
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A. |
parallel |
B. |
all are correct |
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C. |
perpendicular |
D. |
coinciding |
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Hint |
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14. |
The maximum cost of Ana's long-distance plan is $5.00 each month plus $0.10 per minute.Name a combination of minutes and cost that fit this inequality. |
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A. |
(10,15) |
B. |
(6,10) |
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C. |
(15,10) |
D. |
(10, 6) |
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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. |
16 |
B. |
-17 |
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C. |
-3 |
D. |
-16 |
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Hint |
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16. |
Karla is in a contest to see who can hit a baseball the farthest. If she hits a ball with an initial velocity of 94.5 ft/s at an angle of 42° with the horizontal, how far will the ball travel before it hits the ground? |
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A. |
139 ft |
B. |
395 ft |
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C. |
277 ft |
D. |
250 ft |
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Hint |
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17. |
The point P with polar coordinates  can also be represented in polar coordinates as __________. |
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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. |
Find the distance between points (2, 4) and (-4, -1). |
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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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19. |
Write the equation  in exponential form. |
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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. |
Find  |
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A. |
The limit does not exist. |
B. |
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C. |
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D. |
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Hint |
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