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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. |
symmetric with respect to the origin |
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C. |
not symmetric |
D. |
symmetric with respect to only the y-axis |
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Hint |
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2. |
Which is an even function? |
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A. |
y = x2 |
B. |
y = 2x - 1 |
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C. |
y = -x |
D. |
y = x |
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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 left 4 units and up 2 units. |
B. |
Move the parent graph left 4 units and down 2 units. |
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C. |
Move the parent graph right 4 units and down 2 units. |
D. |
Move the parent graph right 4 units and up 2 units. |
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Hint |
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4. |
If you use the parent graph y = x2 as a reference, describe how you would
graph y = -x2 - 3. |
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A. |
Reflect the parent graph over the x-axis and then move the graph up 3 units. |
B. |
Reflect the parent graph over the x-axis and then move the graph down 3 units. |
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C. |
Reflect the parent graph over the y-axis and then move the graph to the left 3 units. |
D. |
Reflect the parent graph over the y-axis and then move the graph down 3 units. |
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Hint |
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5. |
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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6. |
Graph y = 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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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. |
none is correct |
B. |
minimum |
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C. |
maximum |
D. |
point of inflection |
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Hint |
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8. |
Determine the slant asymptote for f(x) =  . |
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A. |
y = 2x + 3 |
B. |
y = 3x + 2 |
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C. |
y = -2x +3 |
D. |
y = 3x - 2 |
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Hint |
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9. |
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. |
125 |
B. |
40 |
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C. |
45 |
D. |
100 |
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Hint |
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10. |
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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11. |
Determine which ordered pair is a solution of the inequality y > |3x - 4| + 3. |
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A. |
(0,7) |
B. |
(3,7) |
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C. |
(1,5) |
D. |
(0,0) |
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Hint |
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12. |
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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13. |
Describe the end behavior of this function:
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A. |
y  3 as x  , y 3 as x  |
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B. |
y -2 as x , y -2 as x |
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C. |
y as x , y as x |
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D. |
y 0 as x , y 0 as x |
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Hint |
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14. |
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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15. |
The function f(x) = -(x - 3)2 + 4 has a critical point at x = 3. Determine and classify this point. |
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A. |
(3,4) is the relative maximum of this function. |
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B. |
(3,4) is the point of inflection. |
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C. |
(3,4) is the absolute maximum of this function. |
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D. |
(3,4) is the absolute minimum of this function. |
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Hint |
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16. |
Determine the equation of the horizontal asymptote for the function:
f(x) =  + 2. |
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A. |
y = 0 |
B. |
x = 0 |
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C. |
y = 2 |
D. |
y = -2 |
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Hint |
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