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1. |
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-axis. |
B. |
The graph of g(x) is a reflection of the graph of f(x) over the x- and y-axes. |
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C. |
The graph of g(x) is a reflection of the graph of f(x) over the y-axis. |
D. |
None are true. |
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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 to the left 3 units. |
B. |
Move the parent graph to the right 3 units. |
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C. |
Move the parent graph down 3 units. |
D. |
Move the parent graph up 3 units. |
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Hint |
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3. |
Which is the graph of y  x3 + 1? |
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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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4. |
Choose the graph of y < 2 - |x - 1|. |
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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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5. |
Which is the graph of f(x) = x2 - 3 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. |
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 = 0.05(0.3G - 350) |
B. |
I = 0.95(0.7G - 350) |
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C. |
I = 0.95(0.3G - 350) |
D. |
I = 0.05(0.7G - 350) |
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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. |
maximum |
B. |
minimum |
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C. |
none is correct |
D. |
point of inflection |
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Hint |
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8. |
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. |
7 |
B. |
3 |
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C. |
5 |
D. |
9 |
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Hint |
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9. |
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 = 13 · 7x |
B. |
k =  and y = 13 · 7x |
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C. |
k = and y = x |
D. |
k = and y = x |
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Hint |
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10. |
Which is an odd 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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11. |
The equation f(-x) = -f(x) is true for which statement? |
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A. |
only even functions |
B. |
both odd functions and relations symmetrical about the origin |
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C. |
only odd functions |
D. |
only functions with point symmetry |
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Hint |
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12. |
Determine the type of discontinuity this function exhibits.
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A. |
point discontinuity |
B. |
infinite discontinuity |
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C. |
none of these |
D. |
jump discontinuity |
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Hint |
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13. |
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. |
decreasing for all x |
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B. |
increasing for x < 0 and decreasing for x > 0 |
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C. |
increasing for x < 0 and x > 0 |
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D. |
increasing for all x |
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Hint |
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14. |
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 (0.487, 3.968)relative minimum (1.24,5.34) |
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C. |
relative maximum (-1.27, 5.35)relative minimum (0.487, 3.968) |
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D. |
relative maximum (-2,-4)relative minimum (0,4) |
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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. |
y = 0 |
B. |
y = 2 |
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C. |
x = 0 |
D. |
y = -2 |
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Hint |
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16. |
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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