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1. |
Determine the symmetry of g(x) =  . |
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A. |
symmetric with respect to the origin |
B. |
not symmetric |
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C. |
symmetric with respect to only the x-axis |
D. |
symmetric with respect to only the y-axis |
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Hint |
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2. |
The graph of y = -x2 + 1 is symmetric about __________. |
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A. |
the x-axis |
B. |
neither the x-axis nor
the y-axis |
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C. |
the y-axis |
D. |
both the x-axis and
the y-axis |
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Hint |
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3. |
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 up 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 down 3 units. |
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Hint |
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4. |
If you use the parent graph y = x2 as a reference, describe how you would
graph y = -x2 - 3. |
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A. |
Reflect the parent graph over the y-axis and then move the graph to the left 3 units. |
B. |
Reflect the parent graph over the x-axis and then move the graph up 3 units. |
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C. |
Reflect the parent graph over the x-axis and then move the graph down 3 units. |
D. |
Reflect the parent graph over the y-axis and then move the graph down 3 units. |
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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. |
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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. |
The function f(x) = 3x2 - x3 has critical points at x = 0 and x = 2. Determine whether each of these critical points is the location of a relative maximum, relative minimum, or a point of inflection. |
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A. |
(0, 0) minimum and (2, 4) point of inflection |
B. |
(0, 0) minimum and (2, 4) maximum |
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C. |
None of these is correct. |
D. |
(0, 0) maximum and (2, 4) minimum |
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Hint |
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7. |
Graph 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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8. |
Which is the graph of y > (x - 3)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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9. |
Solve |3x + 5| - 4 < 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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10. |
Graph the equation using the graph of the given parent function.
y = 1  , p(x) = x2 |
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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. |
Determine the intervals on which the function f(x) = x3 + x2 + x is increasing and the intervals on which the function is decreasing. |
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A. |
increasing for all x |
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B. |
increasing for x < 0 and x > 0 |
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C. |
decreasing for all x |
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D. |
increasing for x < 0 and decreasing for x > 0 |
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Hint |
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12. |
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 all x |
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B. |
increasing for x < -1 and x > -1 |
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C. |
decreasing for x < -1 and increasing for x > -1 |
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D. |
increasing for x < -1 and decreasing for x > -1 |
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Hint |
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13. |
The function f(x) = -(x - 3)2 + 4 has a critical point at x = 3. Determine and classify this point. |
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A. |
(3,4) is the relative maximum of this function. |
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B. |
(3,4) is the point of inflection. |
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C. |
(3,4) is the absolute maximum of this function. |
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D. |
(3,4) is the absolute minimum of this function. |
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Hint |
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14. |
Graph the function  |
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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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15. |
If y varies jointly as x and the cube root of z,
and y = 30 when x = -5
and z = 27, find y when z = -8 and x = 0.5. |
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A. |
y = -2 |
B. |
y = 20 |
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C. |
y = 4 |
D. |
y = 2 |
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Hint |
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16. |
Which best describes this graph? |
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A. |
joint variation |
B. |
none of these |
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C. |
direct variation |
D. |
inverse variation |
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Hint |
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