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1. |
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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2. |
Sketch the graph of the function f(x) = |x2 - 6|. |
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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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3. |
Which is the graph of f(x) = |x| - 4 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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4. |
Determine the asymptotes for the graph of f(x) =  . |
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A. |
a vertical asymptote at x = -3 and a horizontal asymptote at y = 1 |
B. |
a vertical asymptote at x = 3 and a horizontal asymptote at y = 2 |
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C. |
none of these |
D. |
a horizontal asymptote at
x = 3 and a vertical asymptote at y = 2 |
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Hint |
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5. |
Complete the graph so it is symmetric about the origin. |
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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. |
Sketch the graph of the function f(x) =  (x + 1)3 + 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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7. |
Which is the graph of y  ? |
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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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8. |
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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9. |
Given the function f(x) = x2 - 8x + 16, is the inverse a function? How do you know? |
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A. |
No, fails the horizontal line test. |
B. |
Yes, fails the horizontal line test. |
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C. |
Yes, passes the vertical line test. |
D. |
No, fails the vertical line test. |
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Hint |
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10. |
Describe the end behavior of this function:
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A. |
y  as x , y  as x |
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B. |
y  3 as x , y 3 as x |
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C. |
y -2 as x , y -2 as x |
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D. |
y 0 as x , y 0 as x |
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Hint |
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11. |
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. |
increasing for x < 0 and x > 0 |
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B. |
decreasing for all x |
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C. |
increasing for all x |
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D. |
increasing for x < 0 and decreasing for x > 0 |
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Hint |
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12. |
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 absolute maximum of this function. |
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B. |
(3,4) is the absolute minimum of this function. |
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C. |
(3,4) is the relative maximum of this function. |
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D. |
(3,4) is the point of inflection. |
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Hint |
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13. |
The function f(x) = - (x + 2)3 - 3 has a critical point at x = -2. Determine whether this is the location of a maximum, minimum or a point of inflection. |
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A. |
maximum |
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B. |
extremum |
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C. |
minimum |
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D. |
point of inflection |
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Hint |
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14. |
Determine the equation of the horizontal asymptote for the function:
f(x) =  + 2. |
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A. |
y = 2 |
B. |
y = 0 |
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C. |
y = -2 |
D. |
x = 0 |
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Hint |
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15. |
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 = 8 |
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C. |
x = 1 |
D. |
x = 2 |
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Hint |
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16. |
Dakota wants to cook a meal for his family. He knows that the more people who help, the less time it will take to prepare the food. Write an equation that represents this situation. Let C be the cooks in the kitchen, T be the time and k as the constant of variation. |
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A. |
C = kT |
B. |
k = CT |
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C. |
T = kC |
D. |
k = CT |
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Hint |
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