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1. |
Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2). |
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A. |
5 |
B. |
-35 |
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C. |
37 |
D. |
-3 |
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Hint |
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2. |
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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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3. |
Which of the following shows the system of equations using a matrix equation? |
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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. |
Solve the systems of equations by using matrix equations. |
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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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5. |
Solve the system of inequalities by graphing. |
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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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6. |
The graph of the system of inequalities is shown below. Name the coordinates of the vertices of the polygonal set. |
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A. |
(-1, 1), (-1, 4), and (2, 1) |
B. |
(1, -1), (-1, 3), and (2, 1) |
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C. |
(1, -4), (3, 0), and (0, 1) |
D. |
(0, 0), (2, 0), and (2, 6) |
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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 = 1 |
B. |
a horizontal asymptote at
x = 3 and a vertical asymptote at y = 2 |
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C. |
none of these |
D. |
a vertical asymptote at x = 3 and a horizontal asymptote at y = 2 |
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Hint |
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8. |
The equation x2 + x - 1 = 0 cannot be solved by ____. |
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A. |
factoring |
B. |
graphing |
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C. |
using the quadratic formula |
D. |
completing the square |
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Hint |
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9. |
Find the number of positive real zeros for
f(x) = 3x5 + 2x3 + x2 + 7x - 1 = 0. |
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A. |
no positive real zeros |
B. |
4 or 2 positive real zeros |
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C. |
exactly 1 positive real zero |
D. |
4 or 2 or 0 positive real zeros |
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Hint |
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10. |
Which of the following is the sine of  |
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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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11. |
The terminal side of one angle in standard position contains the point with coordinates (3, -2). The terminal side of another angle in standard position contains the point with coordinates (-3, 2). Compare the tangents of these angles. |
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A. |
One is twice the other. |
B. |
They are not equal. |
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C. |
They are equal. |
D. |
One does not exist. |
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Hint |
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12. |
If csc  = 2, find sin . |
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A. |
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B. |
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C. |
2 |
D. |
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Hint |
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13. |
Complete the identity
sin  sin (-) - cos  ___. |
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A. |
- cos 0 |
B. |
1 |
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C. |
sin 0 |
D. |
-1 |
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Hint |
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14. |
Find the inner product of  and  if  and  . |
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A. |
-20 |
B. |
12 |
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C. |
20 |
D. |
-12 |
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Hint |
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15. |
Find the inner product of  and  if  and  . |
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A. |
14 |
B. |
-8 |
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C. |
-12 |
D. |
-14 |
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Hint |
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16. |
Find the direction of the resultant of a 100-newton force along the x-axis and a 150-newton force at an angle of 40° above the x-axis. |
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A. |
12.6° |
B. |
32.6° |
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C. |
10.5° |
D. |
24.2° |
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Hint |
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17. |
Which of the following graphs represents the function: 
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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. |
Solve the system of three equations by elimination: 5x + 2y - 3z = 10
2x - 2y + 4z = 6
x - y + 2z = 3
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A. |
(3, 4, 2) |
B. |
infinite solutions |
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C. |
no solution |
D. |
(2, -5, 3) |
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Hint |
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19. |
Use a graphing calculator to graph f(x) = x5 + x4 - x3 + 4 and to determine and classify the extrema. |
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A. |
relative maximum (-1.27, 5.35)relative minimum (0.487, 3.968) |
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B. |
relative maximum (-2,-4)relative minimum (0,4) |
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C. |
relative maximum (0.487, 3.968)relative minimum (1.24,5.34) |
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D. |
relative minimum (-2,-4) relative maximum (0,4) |
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Hint |
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20. |
Find a numerical value of one trigonometric function of x if
sin x (tan x + cot x) = 2. |
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A. |
sin x =  |
B. |
cos x = |
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C. |
csc x = |
D. |
sec x = |
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Hint |
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