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1. |
Given f(x) = x2 + 1 and g(x) = 2x - 1, find (f - g)(x). |
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A. |
x2 + 2x |
B. |
x2 - 2x + 2 |
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C. |
x2 - 2x - 1 |
D. |
x2 - 2x + 1 |
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Hint |
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2. |
Rewrite the equation 3x + y = 7 in slope-intercept form. |
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A. |
y = 7x + 3 |
B. |
y = -3x + 7 |
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C. |
y = -3x - 7 |
D. |
y = 3x - 7 |
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Hint |
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3. |
Which is the best prediction equation for the data? |
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 |
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A. |
y = 25x - 19,950 |
B. |
y = 5x - 19,950 |
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C. |
y = 10x - 19,950 |
D. |
y = 20x - 19,950 |
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Hint |
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4. |
Solve the system of equations 2x + 3y = -7 and x - y = 4 by graphing. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Which is the graph of f(x) = |x| - 4 and its inverse? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Use a graphing calculator to graph g(x) = x3 - x + 1 and to determine and classify its extrema. |
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A. |
relative maximum:
(1.38, -0.6);
relative minimum
(0.6, 0.62) |
B. |
relative minimum:
(1.38, -0.6);
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 minimum:
(-0.6, 1.38);
relative maximum:
(0.6, 0.62) |
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Hint |
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7. |
Graph y =  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
Use y =  to find the value of y when x = 14. |
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A. |
98 |
B. |
28 |
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C. |
56 |
D. |
8 |
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Hint |
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9. |
Use the unit circle to find sec (-180°). |
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A. |
0 |
B. |
1 |
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C. |
undefined |
D. |
-1 |
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Hint |
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10. |
The angle of elevation of a ladder leaning against a wall is 55°. The ladder is 30 feet long. How high up the wall does it reach? |
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A. |
about 24.57 ft |
B. |
about 52.30 ft |
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C. |
about 42.84 ft |
D. |
about 17.21 ft |
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Hint |
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11. |
Given  and a = 5, b = 2 and A = 115°, find B. |
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A. |
21.3° |
B. |
31.7° |
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C. |
14.6° |
D. |
22.5° |
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Hint |
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12. |
Determine if the function is periodic. If so, state the period. |
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A. |
yes; 4 |
B. |
no |
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C. |
yes; 2 |
D. |
yes; 1 |
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Hint |
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13. |
State the phase shift for y = 2.5 sin  . |
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A. |
-2 |
B. |
2 |
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C. |
- |
D. |
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Hint |
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14. |
Find the distance between the lines with equations x + 2y = 6 and
y = - x + 2. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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15. |
Write an equation of a line that has no slope and passes through
the point (5,-6). |
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A. |
y = -6 |
B. |
x = 5 |
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C. |
x = -6 |
D. |
y = 5 |
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Hint |
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16. |
 |
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A. |
impossible |
B. |
[-1 1 18] |
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C. |
 |
D. |
[4 5 6] |
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Hint |
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17. |
The image of after Rot180 · Ry-axis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? |
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A. |
reflection over the y-axis |
B. |
reflection over the x-axis |
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C. |
reflection over the line y = x |
D. |
none of these |
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Hint |
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18. |
Find the inverse of  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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19. |
Which is an odd function? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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20. |
If sin  =  , find cos 2. |
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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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