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1. |
If A =  , find -2A. |
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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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2. |
Use a graphing calculator to graph g(x) = x3 - x + 1 and to determine and classify its extrema. |
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A. |
relative minimum:
(1.38, -0.6);
relative maximum:
(0.6, 0.62) |
B. |
relative minimum:
(-0.6, 1.38);
relative maximum:
(0.6, 0.62) |
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C. |
relative maximum:
(-0.6, 1.38);
relative minimum:
(0.6, 0.62) |
D. |
relative maximum:
(1.38, -0.6);
relative minimum
(0.6, 0.62) |
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Hint |
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3. |
If the angle -1500° is in standard position, state the quadrant
in which its terminal side lies. |
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A. |
III |
B. |
IV |
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C. |
II |
D. |
I |
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Hint |
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4. |
The diameter of a circle is 18 inches. If a central angle measures 64°, find the length of the intercepted arc. |
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A. |
about 14.6 in. |
B. |
about 18.2 in. |
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C. |
about 10.1 in. |
D. |
about 20.1 in. |
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Hint |
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5. |
Write an equation of a cosine function with amplitude 3, period  , phase shift  , and vertical shift 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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6. |
Which equation could represent a rose with 5 petals? |
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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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7. |
The force on an object is represented by the complex number 8 + 7i, where the components are measured in newtons. What is the magnitude of the force? |
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A. |
about 15.67 N |
B. |
about 10.63 N |
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C. |
about 1.09 N |
D. |
about 56.13 N |
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Hint |
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8. |
Solve the system of equations algebraically.
x - y + 2 = 0
x2 + y2 = 10 |
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A. |
(1, 3) |
B. |
(-3, -1), (1, 3) |
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C. |
(4, 6) |
D. |
(-1, -3), (3, 1) |
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Hint |
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9. |
Which is the graph of the inequality 2x + y + 3 >0? |
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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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10. |
Which is the graph of the compound inequality 0  x + y 4? |
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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. |
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. |
-3 |
B. |
-16 |
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C. |
16 |
D. |
-17 |
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Hint |
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12. |
Solve |4 - x| < 0. |
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A. |
{x|x > 4} |
B. |
no solution |
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C. |
all real numbers |
D. |
{x|x < 4} |
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Hint |
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13. |
Given the function f(x) =  , is the inverse a function? How do you know? |
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A. |
Yes, this function fails the horizontal line test. |
B. |
No, this function fails the horizontal line test. |
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C. |
Yes, this function passes the vertical line test. |
D. |
No, this function passes the horizontal line test. |
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Hint |
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14. |
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. |
decreasing for x < -1 and increasing for x > -1 |
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C. |
increasing for x < -1 and decreasing for x > -1 |
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D. |
increasing for all x |
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Hint |
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15. |
Complete the identity  = _______. |
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A. |
sec x |
B. |
-cos x |
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C. |
sin x |
D. |
tan x |
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Hint |
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16. |
If angles x and y are between 0° and 180° such that cos x = - and cos y =  , what is the value of sin (x + y)? |
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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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17. |
Find the direction of the resultant of a 7-newton force at an angle of 35° above the x-axis and a 12-newton force at an angle of 35° below the x-axis. |
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A. |
0° |
B. |
10.4° |
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C. |
-2.9° |
D. |
-10.4° |
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Hint |
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18. |
Write the equation x + 11y = -3 in polar form. |
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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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19. |
Express the number  in rectangular form. |
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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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20. |
Write the equation of a circle that passes through points (1, 2), (-1, 4) and (-3, 2) in standard form. |
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A. |
(x + 1) 2 + (y - 3) 2 = 4 |
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B. |
(x - 1) 2 + (y - 2) 2 = 4 |
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C. |
(x - 1) 2 + (y + 3) 2 = 4 |
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D. |
(x + 1)2 + (y - 2) 2 = 4 |
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Hint |
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