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1. |
Which is the graph of g(x) = |6 - |2x||? |
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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. |
If you use the parent graph y = x2 as a reference, describe how you would graph y = -x2 - 3. |
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A. |
Reflect the parent graph over the x-axis and then move the graph up 3 units. |
B. |
Reflect the parent graph over the y-axis and then move the graph down 3 units. |
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C. |
Reflect the parent graph over the y-axis and then move the graph to the left 3 units. |
D. |
Reflect the parent graph over the x-axis and then move the graph down 3 units. |
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Hint |
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3. |
Determine the interval(s) on which the function f(x) = 2|x + 1| + 3 is increasing and the interval(s) on which the function is decreasing. |
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A. |
The function is increasing for x > 2, and the function is decreasing for x < 2. |
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B. |
The function is decreasing for x > 0, and the function is increasing for x < 0. |
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C. |
The function is increasing for x > -1, and the function is decreasing for x < -1. |
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D. |
The function is increasing for x > 3, and the function is decreasing for x < 3. |
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Hint |
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4. |
Solve 4. |
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A. |
none of these |
B. |
x 8 |
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C. |
x 0 |
D. |
0 x 8 |
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Hint |
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5. |
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 78.5° |
B. |
about 11.5° |
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C. |
about 11.3° |
D. |
about 78.7° |
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Hint |
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6. |
A sector has an area of 14.5 square meters. The radius of the circle is 4 meters. Find the radian measure of the central angle to the nearest tenth. |
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A. |
3.6 radians |
B. |
14.6 radians |
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C. |
1.8 radians |
D. |
7.3 radians |
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Hint |
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7. |
A quantity with only magnitude is called a _____. |
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A. |
scalar |
B. |
matrix |
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C. |
vector |
D. |
resultant |
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Hint |
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8. |
Find the initial horizontal velocity of a javelin thrown at 70 feet per second at an angle of 55° with the horizontal. |
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A. |
about 40 ft/s |
B. |
about 50 ft/s |
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C. |
about 20 ft/s |
D. |
about 30 ft/s |
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Hint |
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9. |
Which of the following is a dilation matrix? |
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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. |
The equation of a circle is 3x2 + 3y2 – 6x + 12y – 24 = 0. Find its center and radius. |
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A. |
(–1, 2); 13 |
B. |
(1, –2);  |
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C. |
(1, –2); 13 |
D. |
(–1, 2);  |
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Hint |
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11. |
Find the equation of the hyperbola with foci at (8, 2) and (-4, 2) whose transverse axis is 10 units long. |
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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. |
Solve the system of equations algebraically. x - y + 2 = 0 x2 + y2 = 10 |
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A. |
(1, 3) |
B. |
(-3, -1), (1, 3) |
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C. |
(-1, -3), (3, 1) |
D. |
(4, 6) |
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Hint |
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13. |
Find the first four iterates of the function f(x) = x3 if the initial value is x0 = -1. |
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A. |
-1, -1, -1, -1 |
B. |
-1, 1, -1, 1 |
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C. |
1, -1, 1, -1 |
D. |
1, 1, 1, 1 |
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Hint |
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14. |
If the k term of Sk is 4 + 2k, find the (k + 1) term. |
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A. |
8 + 2k |
B. |
k + 1 |
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C. |
2k |
D. |
6 + 2k |
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Hint |
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15. |
The equation f(-x) = -f(x) is true for which statement? |
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A. |
only functions with point symmetry |
B. |
only even functions |
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C. |
only odd functions |
D. |
both odd functions and relations symmetrical about the origin |
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Hint |
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16. |
Find the direction of the resultant of a 7-newton force at an angle of 35° above the x-axis and a 12-newton force at an angle of 35° below the x-axis. |
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A. |
0° |
B. |
-2.9° |
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C. |
-10.4° |
D. |
10.4° |
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Hint |
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17. |
The graph of 8 + 8 cos is a ________. |
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A. |
cardioid |
B. |
rose |
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C. |
spiral of Archimedes |
D. |
limaçon |
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Hint |
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18. |
How many 8-digit numbers can have the digits 4, 5, 9, 4, 8, 8, 9, and 2? |
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A. |
40,320 |
B. |
5,040 |
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C. |
10,080 |
D. |
8,610 |
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Hint |
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19. |
The probability of tossing a tail on a bent coin is . The coin is tossed 5 times. Find the probability of tossing exactly 3 tails. |
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A. |
0.3292 |
B. |
0.3114 |
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C. |
0.3028 |
D. |
0.2906 |
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Hint |
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20. |
Find the variance of the data below. 36, 49, 65, 77, 70, 49, 40, 58, 76, 73, 58, 39 |
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A. |
201.03 |
B. |
200.58 |
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C. |
199.61 |
D. |
202.58 |
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Hint |
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