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1. |
Find p(2) for p(x) = x4 + 3x3 - 2x2 - 4x + 1. |
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A. |
12 |
B. |
25 |
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C. |
-7 |
D. |
-1 |
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Hint |
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2. |
When 2x3 + x2 - 3 is divided by x + 1, the remainder is _____. |
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A. |
-4 |
B. |
-2 |
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C. |
3 |
D. |
0 |
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Hint |
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3. |
Find f(-2) for f(x) = 2x4 - x3 + 5x + 1. |
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A. |
-29 |
B. |
31 |
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C. |
-21 |
D. |
-57 |
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Hint |
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4. |
The function whose graph is shown has _____. |
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 |
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A. |
one relative minimum |
B. |
no relative maxima |
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C. |
two relative maxima |
D. |
two relative minima |
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Hint |
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5. |
Approximate the real zero of f(x) = x3 + x + 1 to the nearest tenth. |
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A. |
-1.0 |
B. |
-0.7 |
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C. |
-1.3 |
D. |
0.3 |
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Hint |
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6. |
Which is not a possible rational zero of the function
g(x) = 3x3 + 2x2 - 7x - 6? |
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A. |
 |
B. |
 |
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C. |
-3 |
D. |
 |
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Hint |
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7. |
Manufacturing A company sells one of its products in boxes that are twice as long as they are wide, and 2 inches higher than they are long. Find the dimensions of such a box if the volume is 320 cubic inches. |
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A. |
4 in. by 8 in. by 20 in. |
B. |
4 in. by 8 in. by 10 in. |
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C. |
6 in. by 12 in. by 14 in. |
D. |
4 in. by 8 in. by 6 in. |
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Hint |
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8. |
Solve  . |
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A. |
-4, 2 |
B. |
4 |
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C. |
4, 16 |
D. |
16 |
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Hint |
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9. |
Which of the following is a polynomial in one variable? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
Solve x4 – 625 = 0 |
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A. |
 |
B. |
5, 5i |
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C. |
 |
D. |
 |
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Hint |
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11. |
Find all of the roots of the equation  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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12. |
How many possible real zeros are there for the polynomial  ? |
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A. |
2 |
B. |
6 |
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C. |
0 |
D. |
4 |
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Hint |
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13. |
Given that  and  , find  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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14. |
Given that  and  , find  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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15. |
Which of the following is an inverse of f(x) = 3x - 4? |
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A. |
 |
B. |
 |
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C. |
3x + 4 |
D. |
 |
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Hint |
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16. |
If two functions f and g are inverse relations, which of the following points must be on graph g if it is on graph f ? |
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A. |
(2, -2) |
B. |
(-1, 1) |
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C. |
(1, 1) |
D. |
Cannot be determined from given information. |
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Hint |
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17. |
Is the inverse of a quadratic function a square root function? |
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A. |
No. |
B. |
It is a square root function only if it is a quadratic function that opens up. |
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C. |
Yes. |
D. |
It is a square root function only if the range is restricted to nonnegative numbers. |
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Hint |
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18. |
The amount of money spent at a grocery store can be expressed as a square root function,  , where x is the number of groceries, and f(x) is the amount of money spent. If Eugene buys 12 items, how much money should he expect to spend? |
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A. |
$9.92 |
B. |
$13 |
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C. |
$169 |
D. |
$20 |
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Hint |
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