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1. |
Find the value of . |
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A. |
-3 |
B. |
-17 |
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C. |
17 |
D. |
3 |
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Hint |
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2. |
Solve the systems of equations by using matrix equations. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
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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4. |
Determine the symmetry of g(x) = . |
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A. |
symmetric with respect to the origin |
B. |
symmetric with respect to only the x-axis |
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C. |
not symmetric |
D. |
symmetric with respect to only the y-axis |
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Hint |
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5. |
For which line(s) is the graph of symmetric? |
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A. |
y = 1 |
B. |
y = -1 |
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C. |
x = 3 |
D. |
x = 3 and y = -1 |
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Hint |
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6. |
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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7. |
Determine the asymptotes for the graph of f(x) = . |
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A. |
a vertical asymptote at x = 3 and a horizontal asymptote at y = 2 |
B. |
a vertical asymptote at x = -3 and a horizontal asymptote at y = 1 |
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C. |
a horizontal asymptote at x = 3 and a vertical asymptote at y = 2 |
D. |
none of these |
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Hint |
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8. |
Write a polynomial equation of least degree with roots -1, 2i, and -2i. |
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A. |
x3 - x2 + 4x + 4 = 0 |
B. |
x3 + x2 - 4x + 4 = 0 |
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C. |
x3 + x2 + 4x + 4 = 0 |
D. |
3x + x2 + 4x - 4 = 0 |
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Hint |
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9. |
Approximate the real zero(s) of f(x) = x3 - 2x2 + 5x - 5 to the nearest tenth. |
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A. |
1.6 |
B. |
1.2 |
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C. |
1.4 |
D. |
1.4, 2.1, and 3.2 |
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Hint |
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10. |
Change north latitude 10.625° to degrees, minutes, and seconds. |
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A. |
10° 36' 30" |
B. |
10° 36' 50" |
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C. |
10° 37' 30" |
D. |
10° 37' 50" |
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Hint |
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11. |
If f = 9 and d = 13, find the measure of . |
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A. |
about 55.3° |
B. |
about 34.7° |
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C. |
about 46.2° |
D. |
about 43.8° |
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Hint |
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12. |
Determine the number of possible solutions for , given A = 50°, a = 38, and c = 49. |
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A. |
two |
B. |
none |
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C. |
three |
D. |
one |
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Hint |
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13. |
A clothes dryer is rotating at 450 revolutions per minute. Determine its angular velocity in radians per second. Round to the nearest tenth. |
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A. |
23.6 radians/s |
B. |
282.7 radians/s |
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C. |
47.1 radians/s |
D. |
2,827.4 radians/s |
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Hint |
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14. |
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 3 |
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C. |
y = ±3 cos   |
D. |
y = ±3 cos   |
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Hint |
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15. |
Find the value of csc by referring to the graph of the cosecant function. |
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A. |
1 |
B. |
0 |
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C. |
undefined |
D. |
-1 |
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Hint |
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16. |
State the domain and range of the relation. |
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A. |
The domain includes all real numbers. The range includes all positive real numbers. |
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B. |
The domain includes just positive real numbers. The range includes all real numbers. |
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C. |
The domain includes negative real numbers. The range includes all real numbers. |
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D. |
The domain and the range include all real numbers. |
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Hint |
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17. |
Find the x- and y-intercepts of the equation:  |
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A. |
x-intercept 5; y-intercept -2 |
B. |
x-intercept 2; y-intercept 5 |
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C. |
x-intercept –2; y intercept 5 |
D. |
x-intercept –5; y-intercept 2 |
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Hint |
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18. |
Determine the intervals on which the function f(x) = is increasing and the intervals on which the function is decreasing. |
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A. |
decreasing for x < -1 and increasing for x > -1 |
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B. |
increasing for x < -1 and decreasing for x > -1 |
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C. |
increasing for all x |
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D. |
increasing for x < -1 and x > -1 |
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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 = 0 |
B. |
x = -2 |
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C. |
y = 0 |
D. |
x = 2 |
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Hint |
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20. |
Determine the slant asymptote for f(x) = . |
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A. |
y = x + 3 |
B. |
y = -x + 3 |
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C. |
y = x + 4 |
D. |
y = 4 |
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Hint |
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