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1. |
Describe the graph. |
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A. |
not a relation but a function |
B. |
relation but not function |
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C. |
neither a relation nor a function |
D. |
relation and function |
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Hint |
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2. |
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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3. |
Which is the graph of the inequality y |x - 3|? |
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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. |
If you solve the following system of equations by elimination, which of the following is the best choice for the first step?
2x + y - z = 3 x + y + z = 5 x - 2y + z = 2
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A. |
Subtract the second and third equation to eliminate the z variable. |
B. |
Both methods will work. |
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C. |
Neither method will work. |
D. |
Add the first and second equations to eliminate the z variable. |
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Hint |
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5. |
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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. |
A triangle ABC has vertices A(3, -1), B(4, -2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. |
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A. |
A'(9, -3), B'(12, -6), C'(21, 3) |
B. |
A'(-3, 9), B'(-6, 12), C'(3, 21) |
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C. |
A,/i>'(12, -6), B'(21, 3), C'(-9, -3) |
D. |
A'(21, 3), B'(12, -6), C'(-9, -3) |
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Hint |
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7. |
When is the function f(x) =  continuous at x = 2? |
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A. |
not enough information is given |
B. |
always |
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C. |
sometimes |
D. |
never |
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Hint |
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8. |
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: (-0.6, 1.38); relative minimum: (0.6, 0.62) |
B. |
relative maximum: (1.38, -0.6); relative minimum (0.6, 0.62) |
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C. |
relative minimum: (-0.6, 1.38); relative maximum: (0.6, 0.62) |
D. |
relative minimum: (1.38, -0.6); relative maximum: (0.6, 0.62) |
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Hint |
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9. |
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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10. |
A regular pentagon is inscribed in a circle with diameter 20 centimeters. The apothem of a regular polygon is the measure of a line segment from the center of the polygon to the midpint of one of its sides. Find the apothem of the pentagon. |
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A. |
about 18.87 cm |
B. |
about 8.09 cm |
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C. |
about 5.30 cm |
D. |
about 11.79 cm |
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Hint |
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11. |
In find c if A = 36°, B = 101°, and b = 42.7. |
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A. |
about 31.8 units |
B. |
about 25.3 units |
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C. |
about 29.7 units |
D. |
about 40.2 units |
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Hint |
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12. |
Given and a = 5, b = 2 and A = 115°, find B. |
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A. |
22.5° |
B. |
14.6° |
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C. |
21.3° |
D. |
31.7° |
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Hint |
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13. |
Determine the number of possible solutions for , given A = 50°, a = 38, and c = 49. |
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A. |
one |
B. |
two |
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C. |
three |
D. |
none |
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Hint |
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14. |
Change radians to degree measure. |
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A. |
135° |
B. |
-145° |
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C. |
-135° |
D. |
145° |
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Hint |
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15. |
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. |
16.8 in./s |
B. |
33.5 in./s |
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C. |
22.3 in./s |
D. |
4.0 in./s |
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Hint |
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16. |
Write the equation for the inverse of y = Arctan 4x. |
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A. |
y = Tan x |
B. |
y = 4 Tan x |
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C. |
y = Tan x |
D. |
y = 2 Tan x |
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Hint |
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17. |
Find f(2b2) for f(x) = x2 – 4x |
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A. |
4b4 - 8b2 |
B. |
-4b2 |
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C. |
2b4 - 8b2 |
D. |
4b2 - 8b8 |
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Hint |
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18. |
Which function does not have a zero? |
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A. |
f(x) = x - 5 |
B. |
f(x) = 3x + 5 |
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C. |
f(x) = –5x +3 |
D. |
f(x) = -5 |
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Hint |
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19. |
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 - 4 = 0 |
B. |
5x + 3y - 12 = 0 |
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C. |
5x - 3y - 12 = 0 |
D. |
3x + 5y - 50 = 0 |
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Hint |
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20. |
Determine the slant asymptote for f(x) = . |
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A. |
y = x + 4 |
B. |
y = -x + 3 |
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C. |
y = x + 3 |
D. |
y = 4 |
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Hint |
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