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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. |
neither the x-axis nor
the y-axis |
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C. |
the x-axis |
D. |
the y-axis |
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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. |
The vertical distance between the steps for g(x) is 1/3 unit. |
B. |
There would be no difference between f(x) = [[x]] and
g(x) = 3[[x]]. |
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C. |
The vertical distance between the steps for g(x) is 3 units. |
D. |
None of these is correct. |
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Hint |
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3. |
Which is the graph of y  x3 + 1? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Which is the graph of f(x) = |x| - 4 and its inverse? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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5. |
A family has a monthly net pay N which is 70% of their gross monthly pay G. They decided to subtract their monthly food allowance of $350 from their monthly net pay and invest 5% of the remainder. Write an equation for the investment each month I, given the above restrictions. |
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A. |
I = 0.95(0.3G - 350) |
B. |
I = 0.95(0.7G - 350) |
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C. |
I = 0.05(0.7G - 350) |
D. |
I = 0.05(0.3G - 350) |
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Hint |
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6. |
When is the function f(x) = 
continuous at x = 2? |
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A. |
always |
B. |
never |
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C. |
not enough information is given |
D. |
sometimes |
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Hint |
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7. |
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. |
minimum |
B. |
point of inflection |
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C. |
maximum |
D. |
none is correct |
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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:
(1.38, -0.6);
relative minimum
(0.6, 0.62) |
B. |
relative minimum:
(-0.6, 1.38);
relative maximum:
(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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9. |
Determine the slant asymptote for f(x) =  . |
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A. |
y = 3x + 2 |
B. |
y = 2x + 3 |
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C. |
y = -2x +3 |
D. |
y = 3x - 2 |
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Hint |
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10. |
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. |
3 |
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C. |
7 |
D. |
5 |
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Hint |
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11. |
Suppose y varies directly as x and y = 13 when x = 7. Find the constant of variation and write an equation. |
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A. |
k =  and y = x |
B. |
k = and y = 13 · 7x |
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C. |
k =  and y = x |
D. |
k = and y = 13 · 7x |
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Hint |
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12. |
Which is an odd function? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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13. |
If you use the parent graph  as a reference, describe how you would graph  . |
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A. |
Compress vertically by a factor of , then move 4 units down. |
B. |
Compress horizontally by a factor of  , then move 4 units down. |
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C. |
Expand horizontally by a factor of , then move 4 units down. |
D. |
Expand vertically by a factor of 3, then move 4 units down. |
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Hint |
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14. |
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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15. |
Determine the type of discontinuity this function exhibits.
 |
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A. |
jump discontinuity |
B. |
none of these |
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C. |
point discontinuity |
D. |
infinite discontinuity |
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Hint |
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16. |
Determine the equation of the vertical asymptote for the function:
f(x) =  + 2. |
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A. |
x = -2 |
B. |
x = 0 |
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C. |
y = 0 |
D. |
x = 2 |
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Hint |
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