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1. |
Determine the symmetry of f(x) = x7. |
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A. |
symmetric with respect to only the x-axis |
B. |
not symmetric |
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C. |
symmetric with respect to the origin |
D. |
symmetric with respect to only the y-axis |
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Hint |
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2. |
The graph |y| = 4 - |2x| is symmetric with respect to __________. |
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A. |
neither the x-axis nor
the y-axis |
B. |
the y-axis |
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C. |
both the x-axis and
the y-axis |
D. |
the x-axis |
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Hint |
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3. |
If you use the parent graph f(x) = x2, describe how you would graph
g(x) = (x - 4)2 - 2. |
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A. |
Move the parent graph right 4 units and down 2 units. |
B. |
Move the parent graph right 4 units and up 2 units. |
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C. |
Move the parent graph left 4 units and down 2 units. |
D. |
Move the parent graph left 4 units and up 2 units. |
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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(0.7G - 350) |
B. |
I = 0.95(0.3G - 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. |
Determine whether the function f(x) = 2x2 - x + 2 is continuous at x = 2. |
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A. |
Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2. |
B. |
Yes, because the function approaches the same y-value 8 on the left and right sides
of x = 2. |
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C. |
None of these are correct. |
D. |
Yes, because the function is defined at x = 2. |
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Hint |
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7. |
Locate the extrema for the graph of y = f(x). |
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A. |
The extrema are (-2, 1) and (1, -1). |
B. |
The extrema are (-2, 1) and (4, 3). |
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C. |
The extrema are (-1, 1) and (4, 3). |
D. |
The extrema are (-2, 1),
(1, -1) and (4, 3). |
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Hint |
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8. |
Use the parent graph f(x) =  to graph the function
k(x) =  ; identify the new location of each asymptote. |
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A. |
x = 5 |
B. |
y = 2 |
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C. |
y = 5 |
D. |
x = 2 |
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Hint |
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9. |
Use y =  to find the value of y when x = 14. |
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A. |
98 |
B. |
8 |
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C. |
28 |
D. |
56 |
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Hint |
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10. |
If you use the parent graph  as a reference, describe how you would graph  . |
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A. |
Expand vertically by a factor of 3, then move 4 units down. |
B. |
Expand horizontally by a factor of  , then move 4 units down. |
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C. |
Compress horizontally by a factor of  , then move 4 units down. |
D. |
Compress vertically by a factor of , then move 4 units down. |
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Hint |
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11. |
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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12. |
Solve |4 - x| < 0. |
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A. |
{x|x < 4} |
B. |
all real numbers |
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C. |
{x|x > 4} |
D. |
no solution |
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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 all x |
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C. |
increasing for x < 0 and decreasing for x > 0 |
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D. |
increasing for x < 0 and x > 0 |
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Hint |
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14. |
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 maximum 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 minimum at (4,2) |
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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 = 2 |
D. |
y = 0 |
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Hint |
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16. |
If y varies inversely as the cube of x and y = 8 when x = 2, find
x when y = 1. |
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A. |
x = 4 |
B. |
x = 2 |
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C. |
x = 8 |
D. |
x = 1 |
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Hint |
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