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1. |
Which is the graph of f(x) = x2 - 3 and its inverse? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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2. |
Determine whether the given critical point of x = -7 is the location of a relative maximum, relative minimum, or a point of inflection for the function f(x) =  x3 +  x2 + 1. |
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A. |
maximum |
B. |
point of inflection |
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C. |
none is correct |
D. |
minimum |
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Hint |
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3. |
Solve  = 3. |
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A. |
2, 3 |
B. |
3 |
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C. |
-1 |
D. |
2 |
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Hint |
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4. |
Which is an example of a cofunction relationship? |
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A. |
sin 30° = cos 60° |
B. |
sin 30° = tan 60° |
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C. |
sin 30° = sin 60° |
D. |
sin 30° = cot 60° |
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Hint |
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5. |
Determine the linear velocity of a point rotating at an angular velocity of  radians per second at a distance of 11 centimeters from the center of the rotating object. Round to the nearest tenth. |
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A. |
518.4 cm/s |
B. |
52.5 cm/s |
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C. |
165 cm/s |
D. |
33.4 cm/s |
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Hint |
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6. |
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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7. |
Which is not a property of the graph of y = tan x? |
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A. |
The period is 2 . |
B. |
The y-intercept is 0. |
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C. |
The x-intercepts are located at n, where n is an integer. |
D. |
The range is the set of real numbers. |
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Hint |
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8. |
Complete the identity  ______________. |
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A. |
-cos A |
B. |
cos A |
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C. |
sin A |
D. |
-sin A |
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Hint |
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9. |
Write  as the sum of unit vectors for A(4, 8, -6) and B(-2, 5, 0). |
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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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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 standard form of the equation x2 - 5y2 - 2x - 10y - 9 = 0. |
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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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12. |
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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13. |
Evaluate the expression  . |
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A. |
3 |
B. |
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C. |
-3 |
D. |
 |
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Hint |
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14. |
Find the first two iterates of the function f(z) = z + 3, if the initial value is 1 + i. |
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A. |
4 + i, 7 + i |
B. |
7 + i, 10 + i |
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C. |
4i, 7i |
D. |
4 + i, 10 + i |
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Hint |
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15. |
If the lowest class interval of the set of data
{67, 90, 83, 85, 73, 80, 78, 79, 68, 71} is 65-70,
find the class mark of that interval. |
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A. |
65 |
B. |
70 |
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C. |
67.5 |
D. |
2 |
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Hint |
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16. |
 |
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A. |
impossible |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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17. |
Complete the graph so it is symmetric about the origin. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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18. |
Use a half-angle identity to find the exact value of tan  . |
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A. |
- |
B. |
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C. |
 |
D. |
- |
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Hint |
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19. |
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. |
8,610 |
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C. |
5,040 |
D. |
10,080 |
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Hint |
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20. |
Find the class mark of 30–40 interval for the following data.
22, 35, 12, 37, 19, 36, 39, 13, 13, 36, 11, 37, 13, 38, 21, 37, 35, 29, 37 |
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A. |
36 |
B. |
38 |
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C. |
37 |
D. |
35 |
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Hint |
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