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1. |
Determine the symmetry of the graph of xy = -4. |
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A. |
none is correct |
B. |
the line y = -x |
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C. |
the line y = x |
D. |
the line y = x and
the line y = -x |
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Hint |
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2. |
If you use the parent graph f(x) = [[x]], describe how you would graph
g(x) = 3[[x]]. |
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A. |
There would be no difference between f(x) = [[x]] and
g(x) = 3[[x]]. |
B. |
The vertical distance between the steps for g(x) is 3 units. |
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C. |
None of these is correct. |
D. |
The vertical distance between the steps for g(x) is 1/3 unit. |
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Hint |
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3. |
Which is the graph of f(x) = |x| - 4 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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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. |
If y varies jointly as the square of x and the cube of z and y = 9 when x = 3 and z = 4, find y when x = 8 and z = 5. |
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A. |
45 |
B. |
40 |
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C. |
125 |
D. |
100 |
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Hint |
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6. |
The equation f(-x) = -f(x) is true for which statement? |
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A. |
only even functions |
B. |
only functions with point symmetry |
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C. |
only odd functions |
D. |
both odd functions and relations symmetrical about the origin |
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Hint |
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7. |
If you use y = x3 as a reference graph, describe how you would
graph y = (x + 3)3 - 4. |
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A. |
Move 3 units to the right, then 4 units down. |
B. |
Move 3 units up, then move 4 units to the left. |
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C. |
Move 3 units to the left, then 4 units down. |
D. |
Move 3 units down, then move 4 units to the right. |
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Hint |
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8. |
Determine which ordered pair is a solution of the inequality y > |3x - 4| + 3. |
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A. |
(3,7) |
B. |
(0,7) |
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C. |
(1,5) |
D. |
(0,0) |
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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. |
Describe the end behavior of the function:
f(x) = x4 - x3 + x2 + x - 1 |
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A. |
f(x)  as x , f(x) as x  |
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B. |
f(x) as x , f(x) as x |
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C. |
f(x) as x , f(x) as x |
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D. |
f(x) as x , f(x) as x |
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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 x < 0 and decreasing for x > 0 |
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B. |
increasing for all x |
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C. |
decreasing for all x |
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D. |
increasing for x < 0 and x > 0 |
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Hint |
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12. |
The function f(x) = |x - 4| + 2 has a critical point at x = 4. Determine if this is the location of a maximum, a minimum or a point of inflection. |
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A. |
There is a minimum at (4,2) |
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B. |
There is a point of inflection at (4,2) |
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C. |
none of these |
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D. |
There is a maximum at (4,2) |
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Hint |
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13. |
Use a graphing calculator to graph f(x) = x5 + x4 - x3 + 4 and to determine and classify the extrema. |
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A. |
relative minimum (-2,-4) relative maximum (0,4) |
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B. |
relative maximum (-1.27, 5.35)relative minimum (0.487, 3.968) |
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C. |
relative maximum (-2,-4)relative minimum (0,4) |
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D. |
relative maximum (0.487, 3.968)relative minimum (1.24,5.34) |
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Hint |
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14. |
Determine the equation of the vertical asymptote for the function:
f(x) =  + 2. |
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A. |
y = 0 |
B. |
x = 0 |
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C. |
x = -2 |
D. |
x = 2 |
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Hint |
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15. |
Determine the equation of the horizontal asymptote for the function:
f(x) = + 2. |
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A. |
x = 0 |
B. |
y = -2 |
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C. |
y = 0 |
D. |
y = 2 |
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Hint |
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16. |
Which best describes this graph? |
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A. |
direct variation |
B. |
joint variation |
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C. |
inverse variation |
D. |
none of these |
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Hint |
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