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1. |
Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2). |
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A. |
-35 |
B. |
5 |
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C. |
37 |
D. |
-3 |
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Hint |
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2. |
Given f(x) = x2 + 1 and g(x) = 2x - 1, find (f - g)(x). |
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A. |
x2 - 2x + 2 |
B. |
x2 - 2x - 1 |
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C. |
x2 - 2x + 1 |
D. |
x2 + 2x |
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Hint |
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3. |
Determine two points that appear to represent the data in the scatter plot. Then find and interpret the slope. |
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A. |
Mary improved her free throw performance from year-to-year by an average of about 10%. |
B. |
Mary improved her free throw performance from year-to-year by an average of about 15% |
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C. |
Mary improved her free throw performance from year-to-year by an average of about 25%. |
D. |
Mary improved her free throw performance from year-to-year by an average of about 20% |
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Hint |
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4. |
Which is the graph of the inequality x > -2? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Which of the following describes the system of equations 2x - y + 4 = 0 and 4x - 2y + 7 = 0? |
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A. |
consistent and independent |
B. |
consistent and dependent |
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C. |
inconsistent |
D. |
none of these |
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Hint |
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6. |
For which line(s) is the graph of  symmetric? |
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A. |
x = 3 |
B. |
y = 1 |
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C. |
x = 3 and y = -1 |
D. |
y = -1 |
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Hint |
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7. |
Locate the extrema for the graph of y = f(x). |
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A. |
The extrema are (-2, 1) and (1, -1). |
B. |
The extrema are (-1, 1) and (4, 3). |
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C. |
The extrema are (-2, 1),
(1, -1) and (4, 3). |
D. |
The extrema are (-2, 1) and (4, 3). |
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Hint |
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8. |
Find the area of  if a = 5.2, c = 13.6, and B = 46° 30'. |
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A. |
about 24.3 square units |
B. |
about 51.3 square units |
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C. |
about 48.7 square units |
D. |
about 25.6 square units |
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Hint |
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9. |
Given a central angle of 105°, find the length of its intercepted arc in a circle of radius 6 centimeters. Round to the nearest tenth. |
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A. |
11.0 cm |
B. |
5.2 cm |
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C. |
22.0 cm |
D. |
10.4 cm |
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Hint |
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10. |
The tires on a race car have a diameter of 28 inches. If the tires are turning at the rate of 1500 revolutions per minute, determine the race car's speed in miles per hour to the nearest tenth. |
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A. |
124.9 mph |
B. |
62.5 mph |
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C. |
187.4 mph |
D. |
249.9 mph |
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Hint |
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11. |
If a pulley is turned 240° per second and its radius is 4 inches, find its linear velocity in inches per second. Round to the nearest tenth. |
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A. |
22.3 in./s |
B. |
33.5 in./s |
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C. |
16.8 in./s |
D. |
4.0 in./s |
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Hint |
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12. |
If csc  = 2, find sin . |
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A. |
 |
B. |
 |
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C. |
2 |
D. |
 |
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Hint |
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13. |
Solve the equation cos 2x = sin x for 0° x < 360°. |
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A. |
30°, 150°, 270° |
B. |
30°, 210°, 270° |
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C. |
30°, 90°, 150° |
D. |
90°, 150°, 270° |
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Hint |
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14. |
Solve 2 cos + 1 < 0 for 0 < 2 . |
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A. |
< < 2 |
B. |
 < <  |
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C. |
0 < or
< < 2 |
D. |
 < <  |
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Hint |
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15. |
Let  and  . Find  . |
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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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16. |
Given f(x) = x-5 and g(x) = x2+ 3,find (f · g)(x). |
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A. |
x2 –2x-15 |
B. |
4x3 –2x |
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C. |
x3 +5x2 +3x-15 |
D. |
x3 –5x2 +3x -15 |
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Hint |
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17. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
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A. |
 = 2
 = 6
 = 42 |
B. |
= 0
= 2
= 4 |
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C. |
= 2
= 6
= 12 |
D. |
= 2
= 6
= 36 |
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Hint |
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18. |
Find the zero of f(x) = 2x - 3, then graph the function. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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19. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee.Graph the fee schedule for different account balances. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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20. |
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. |
increasing for x < -1 and x > -1 |
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B. |
increasing for all x |
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C. |
increasing for x < -1 and decreasing for x > -1 |
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D. |
decreasing for x < -1 and increasing for x > -1 |
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Hint |
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