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1. |
Determine the symmetry of f(x) = x7. |
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A. |
not symmetric |
B. |
symmetric with respect to only the y-axis |
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C. |
symmetric with respect to only the x-axis |
D. |
symmetric with respect to the origin |
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Hint |
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2. |
Determine the symmetry of g(x) =  . |
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A. |
not symmetric |
B. |
symmetric with respect to only the x-axis |
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C. |
symmetric with respect to only the y-axis |
D. |
symmetric with respect to the origin |
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Hint |
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3. |
Describe how the graphs of f(x) = |2x| and g(x) = -|2x| are related. |
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A. |
The graph of g(x) is a reflection of the graph of f(x) over the x- and y-axes. |
B. |
None are true. |
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C. |
The graph of g(x) is a reflection of the graph of f(x) over the x-axis. |
D. |
The graph of g(x) is a reflection of the graph of f(x) over the y-axis. |
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Hint |
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4. |
When is the function f(x) = 
continuous at x = 2? |
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A. |
sometimes |
B. |
not enough information is given |
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C. |
always |
D. |
never |
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Hint |
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5. |
Locate the extrema for the graph of y = f(x). |
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A. |
The extrema are (-1, 1) and (4, 3). |
B. |
The extrema are (-2, 1) and (1, -1). |
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C. |
The extrema are (-2, 1),
(1, -1) and (4, 3). |
D. |
The extrema are (-2, 1) and (4, 3). |
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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 minimum:
(-0.6, 1.38);
relative maximum:
(0.6, 0.62) |
B. |
relative maximum:
(1.38, -0.6);
relative minimum
(0.6, 0.62) |
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C. |
relative minimum:
(1.38, -0.6);
relative maximum:
(0.6, 0.62) |
D. |
relative maximum:
(-0.6, 1.38);
relative minimum:
(0.6, 0.62) |
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Hint |
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7. |
If y varies directly as the cube of x and y = 30 when x = 2, find x when
y = 468.75. |
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A. |
9 |
B. |
5 |
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C. |
3 |
D. |
7 |
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Hint |
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8. |
Sketch the graph of the function f(x) =  (x + 1)3 + 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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9. |
Which is the graph of y  ? |
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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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10. |
Which is the graph of y > (x - 3)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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11. |
Given the function f(x) = x2 - 8x + 16, find the inverse. |
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A. |
f -1 = (x - 4)2 |
B. |
f -1 = 4  |
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C. |
f -1 = x - 4 |
D. |
f -1 = x - 2 |
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Hint |
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12. |
Given the function f(x) = x2 - 8x + 16, is the inverse a function? How do you know? |
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A. |
Yes, passes the vertical line test. |
B. |
No, fails the vertical line test. |
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C. |
No, fails the horizontal line test. |
D. |
Yes, fails the horizontal line test. |
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Hint |
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13. |
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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14. |
Determine the slant asymptote for f(x) =  . |
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A. |
y = 4 |
B. |
y = x + 3 |
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C. |
y = x + 4 |
D. |
y = -x + 3 |
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Hint |
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15. |
Graph the function  |
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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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16. |
Which best describes this graph? |
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A. |
inverse variation |
B. |
direct variation |
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C. |
none of these |
D. |
joint variation |
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Hint |
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