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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. |
both the x-axis and the y-axis |
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C. |
the y-axis |
D. |
the x-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 3 units. |
B. |
The vertical distance between the steps for g(x) is 1/3 unit. |
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C. |
None of these is correct. |
D. |
There would be no difference between f(x) = [[x]] and g(x) = 3[[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 down 2 units. |
B. |
Move the parent graph left 4 units and up 2 units. |
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C. |
Move the parent graph right 4 units and up 2 units. |
D. |
Move the parent graph right 4 units and down 2 units. |
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Hint |
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4. |
Solve |x - 1| - 8 < 3. |
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A. |
{x | -4 < x < 3} |
B. |
{x | -8 < x < 10} |
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C. |
{x | 5 < x < 10} |
D. |
{x | -10 < x < 12} |
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Hint |
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5. |
Solve |x + 4| > 2. |
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A. |
-6 < x < -2 |
B. |
x > -6 or x < -2 |
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C. |
x < -6 or x > -2 |
D. |
x < -6 |
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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 approaches the same y-value 8 on the left and right sides of x = 2. |
B. |
Yes, because the function is defined at x = 2 and approaches y = 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. |
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. |
3 |
B. |
5 |
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C. |
9 |
D. |
7 |
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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. |
8 |
B. |
98 |
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C. |
56 |
D. |
28 |
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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. |
Given the function f(x) = , is the inverse a function? How do you know? |
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A. |
Yes, this function passes the vertical line test. |
B. |
No, this function passes the horizontal line test. |
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C. |
No, this function fails the horizontal line test. |
D. |
Yes, this function fails the horizontal line test. |
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Hint |
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12. |
Given the function f(x) = x2 - 8x + 16, is the inverse a function? How do you know? |
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A. |
Yes, fails the horizontal line test. |
B. |
No, fails the vertical line test. |
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C. |
No, fails the horizontal line test. |
D. |
Yes, passes the vertical line test. |
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Hint |
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13. |
Determine the intervals on which the function f(x) = is increasing and the intervals on which the function is decreasing. |
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A. |
increasing for x < -1 and x > -1 |
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B. |
increasing for all x |
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C. |
decreasing for x < -1 and increasing for x > -1 |
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D. |
increasing for x < -1 and decreasing for x > -1 |
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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 (-1.27, 5.35)relative minimum (0.487, 3.968) |
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C. |
relative maximum (-2,-4)relative minimum (0,4) |
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D. |
relative maximum (0.487, 3.968)relative minimum (1.24,5.34) |
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Hint |
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15. |
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. |
x = 2 |
D. |
y = 0 |
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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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