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1. |
The graph |y| = 4 - |2x| is symmetric with respect to __________. |
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A. |
both the x-axis and the y-axis |
B. |
the y-axis |
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C. |
the x-axis |
D. |
neither the x-axis nor the y-axis |
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Hint |
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2. |
If you use the parent graph y = as a reference, how would you graph y = - 3? |
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A. |
Move the parent graph down 3 units. |
B. |
Move the parent graph to the left 3 units. |
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C. |
Move the parent graph to the right 3 units. |
D. |
Move the parent graph up 3 units. |
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Hint |
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3. |
If you use the parent graph y = as a reference, describe how you would graph y = . |
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A. |
Move the parent graph 2 units to the left and then down 5 units. |
B. |
Move the parent graph 2 units to the left and then up 5 units. |
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C. |
Move the parent graph 2 units to the right and then up 5 units. |
D. |
Move the parent graph 2 units to the right and then down 5 units. |
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Hint |
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4. |
Which is the graph of f(x) = x2 - 3 and its inverse? |
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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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5. |
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. |
maximum |
B. |
none is correct |
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C. |
minimum |
D. |
point of inflection |
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Hint |
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6. |
Write a polynomial equation of least degree with roots -1, 2i, and -2i. |
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A. |
x3 - x2 + 4x + 4 = 0 |
B. |
x3 + x2 + 4x + 4 = 0 |
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C. |
x3 + x2 - 4x + 4 = 0 |
D. |
3x + x2 + 4x - 4 = 0 |
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Hint |
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7. |
The equation x2 + x - 1 = 0 cannot be solved by ____. |
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A. |
completing the square |
B. |
factoring |
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C. |
using the quadratic formula |
D. |
graphing |
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Hint |
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8. |
Use the unit circle to find the value of cos 120°. |
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A. |
-2 |
B. |
 |
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C. |
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D. |
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Hint |
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9. |
Solve the equation cos 2x = sin x for 0° x < 360°. |
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A. |
30°, 210°, 270° |
B. |
30°, 150°, 270° |
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C. |
30°, 90°, 150° |
D. |
90°, 150°, 270° |
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Hint |
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10. |
Which are the coordinates of the vertices of a parallelogram? |
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A. |
(-3, 2), (5, 1), (4, 0), (-1, 3) |
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B. |
(1, 1), (-3, 0), (4, 2), (-2, 3) |
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C. |
(-1, 1), (1, 4), (6, 5), (4, 2) |
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D. |
(0, 4), (2, 9), (-1, -3), (4, 6) |
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Hint |
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11. |
Suppose the equation models the number of liters of air in the lungs of a gorilla at t seconds. Use a graphing calculator to graph the function with Xmin = 0 and Xmax = 10. |
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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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12. |
Find the direction of the resultant vector for the diagram. |
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A. |
71.6° |
B. |
55° |
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C. |
18.4° |
D. |
60° |
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Hint |
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13. |
State the domain and range of the relation. Then state whether the relation is a function.{(2,-1), (-2,4), (2,5), (3,6)} |
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A. |
Domain {-1,4,5,6}Range {-2,2,3}The relation is a function. |
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B. |
Domain {-1,4,5,6}Range {-2,2,3} The relation is not a function. |
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C. |
Domain {-2,2,3} Range {-1,4,5,6}The relation is not a function. |
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D. |
Domain {-2,2,3} Range {-1,4,5,6} The relation is a function. |
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Hint |
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14. |
Given f(x) = x-5 and g(x) = x2+ 3,find (f · g)(x). |
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A. |
x3 +5x2 +3x-15 |
B. |
4x3 –2x |
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C. |
x3 –5x2 +3x -15 |
D. |
x2 –2x-15 |
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Hint |
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15. |
Find the magnitude of for N(-2, -6, -12) and K(3, -6, 7). |
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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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16. |
Two vectors and are perpendicular if ________. |
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A. |
their dot product is equal to their cross product |
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B. |
their cross product equals zero |
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C. |
their inner product is v1w1 +v2w2 |
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D. |
their inner product equals zero |
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Hint |
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17. |
Find if and . |
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A. |
 |
B. |
 |
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C. |
-8 |
D. |
5 |
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Hint |
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18. |
Evaluate if and . |
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A. |
60 |
B. |
-39 |
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C. |
21 |
D. |
44 |
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Hint |
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19. |
Write the equation 7x - 2y = 2 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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20. |
Write the equation x2 + 4y2 + 8x - 8y + 16 = 0 in standard 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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