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1. |
What is the leading coefficient of the polynomial
p(x) = -3x5 + 4x3 - 5x2 + 4x - 6? |
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A. |
4 |
B. |
3 |
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C. |
-6 |
D. |
-3 |
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Hint |
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2. |
Which could be the degree of the function represented by the graph? |
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 |
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A. |
4 |
B. |
3 |
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C. |
5 |
D. |
1 |
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Hint |
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3. |
When x3 - 4x2 + x - 5 is divided by x - 2, the quotient is _____. |
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A. |
-11 |
B. |
x2 - x + 25 |
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C. |
x2 - 2x - 3 |
D. |
x - 2 |
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Hint |
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4. |
One of the factors of x3 - 7x + 6 is x - 1. Which of the following is one of the other factors? |
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A. |
x + 1 |
B. |
x - 6 |
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C. |
x - 3 |
D. |
x - 2 |
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Hint |
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5. |
The function whose graph is shown has _____. |
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 |
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A. |
one relative minimum |
B. |
two relative minima |
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C. |
no relative maxima |
D. |
two relative maxima |
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Hint |
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6. |
Graph f(x) = x3 - 4x2 + 2x – 3. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
One zero of h(x) = x3 - 3x2 + x + 5 is 2 - i. Which of the following is another zero? |
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A. |
1 - 2i |
B. |
2 + i |
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C. |
1 |
D. |
1 - i |
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Hint |
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8. |
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. |
 |
D. |
-3 |
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Hint |
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9. |
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. |
6 in. by 12 in. by 14 in. |
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C. |
4 in. by 8 in. by 6 in. |
D. |
4 in. by 8 in. by 10 in. |
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Hint |
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10. |
Find g[h(x)] if g(x) = x2 and h(x) = x + 3. |
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A. |
x2 - x - 3 |
B. |
x2 + x + 3 |
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C. |
x2 + 6x + 9 |
D. |
x3 + 3x2 |
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Hint |
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11. |
Which pair of functions are inverses? |
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A. |
f(x) = 4x, g(x) = -4x |
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B. |
 |
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C. |
 |
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D. |
f(x) = 2x + 1,
g(x) = 2x - 1 |
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Hint |
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12. |
Write the expression  in quadratic form. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
cannot be done, since  |
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Hint |
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13. |
Solve x4 – 625 = 0 |
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A. |
 |
B. |
 |
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C. |
5, 5i |
D. |
 |
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Hint |
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14. |
Find all the zeros of  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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15. |
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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16. |
Given that f(x) and g(x) are inverses, which of the following is true? |
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A. |
 |
B. |
 is undefined |
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C. |
 |
D. |
 |
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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 the range is restricted to nonnegative numbers. |
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C. |
It is a square root function only if it is a quadratic function that opens up. |
D. |
Yes. |
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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. |
$13 |
B. |
$9.92 |
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C. |
$169 |
D. |
$20 |
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Hint |
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