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1. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
6x2 + 5 |
B. |
12x2 + 36x + 28 |
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C. |
6x2 - 5 |
D. |
12x2 - 36x + 28 |
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Hint |
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2. |
Which is the graph of the inequality y  |x - 3|? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
Determine whether the function f(x) = 2x2 - x + 2 is continuous at x = 2. |
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A. |
Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2. |
B. |
Yes, because the function approaches the same y-value 8 on the left and right sides
of x = 2. |
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C. |
None of these are correct. |
D. |
Yes, because the function is defined at x = 2. |
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Hint |
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4. |
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. |
minimum |
B. |
maximum |
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C. |
none is correct |
D. |
point of inflection |
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Hint |
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5. |
Find the measure of the reference angle of -200°. |
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A. |
-200° |
B. |
40° |
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C. |
160° |
D. |
20° |
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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. |
14.6 radians |
B. |
7.3 radians |
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C. |
1.8 radians |
D. |
3.6 radians |
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Hint |
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7. |
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. |
52.5 cm/s |
B. |
33.4 cm/s |
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C. |
518.4 cm/s |
D. |
165 cm/s |
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Hint |
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8. |
Find sin  . |
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A. |
1 |
B. |
- |
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C. |
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D. |
-1 |
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Hint |
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9. |
Find a numerical value of one trigonometric function of x if  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
Find sin 2 if sin =  and 0° < < 90°. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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11. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
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A. |
5x - 3y - 12 = 0 |
B. |
5x + 3y - 12 = 0 |
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C. |
3x + 5y - 50 = 0 |
D. |
5x - 3y - 4 = 0 |
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Hint |
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12. |
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. |
-16 |
D. |
-3 |
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Hint |
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13. |
Determine which ordered pair is a solution of the inequality y > |3x - 4| + 3. |
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A. |
(0,7) |
B. |
(3,7) |
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C. |
(0,0) |
D. |
(1,5) |
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Hint |
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14. |
Describe the end behavior of the function:
f(x) = x4 - x3 + x2 + x - 1 |
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A. |
f(x)  as x  , f(x) as x |
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B. |
f(x) as x , f(x) as x |
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C. |
f(x) as x , f(x) as x |
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D. |
f(x) as x , f(x) as x |
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Hint |
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15. |
Complete the identity  = _______. |
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A. |
tan x |
B. |
sin x |
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C. |
sec x |
D. |
-cos x |
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Hint |
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16. |
Use the sum or difference identity for cosine to find the exact value of cos 105° |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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17. |
Which pair of vectors is perpendicular? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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18. |
Find the product  . Express the result in rectangular form. |
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A. |
54i |
B. |
54 |
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C. |
-54 |
D. |
-54i |
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Hint |
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19. |
Find the product  . Express the solution in rectangular form. |
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A. |
3 |
B. |
 |
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C. |
0 |
D. |
-3 |
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Hint |
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20. |
Find  . |
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A. |
10i |
B. |
 |
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C. |
 |
D. |
1000i |
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Hint |
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