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1. |
Which could be the degree of the function represented by the graph? |
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A. |
3 |
B. |
5 |
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C. |
4 |
D. |
1 |
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Hint |
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2. |
Find p(2) for p(x) = x4 + 3x3 - 2x2 - 4x + 1. |
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A. |
-7 |
B. |
12 |
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C. |
25 |
D. |
-1 |
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Hint |
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3. |
The function whose graph is shown has _____. |
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A. |
no relative maxima |
B. |
one relative minimum |
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C. |
two relative minima |
D. |
two relative maxima |
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Hint |
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4. |
State the number of positive real zeros for the polynomial f(x) = x3 + 4x2 + x + 5. |
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A. |
0 |
B. |
2 |
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C. |
3 |
D. |
1 |
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Hint |
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5. |
Which is the inverse of the relation {(1, -3), (3, 5), (6, -2)}? |
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A. |
{(1, -3), (3, 5), (6, -2)} |
B. |
{(1, -2), (3, 8), (6, 4)} |
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C. |
{(1, 5), (3, -2), (6, -3)} |
D. |
{(-3, 1), (5, 3), (-2, 6)} |
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Hint |
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6. |
Find consecutive values of x between which each real zero of the function is located. |
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A. |
–3 and –4 |
B. |
no solution |
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C. |
–5 and –4 |
D. |
3 and 4 |
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Hint |
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7. |
Which expression cannot be written in quadratic form? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
Solve  |
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A. |
 |
B. |
1, 11.31 |
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C. |
1, 1.22 |
D. |
 |
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Hint |
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9. |
The volume of a refrigerator is . Its height is x + 2. What are the other two dimensions? |
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A. |
x – 2 and x + 3 |
B. |
x – 3 and x + 2 |
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C. |
x – 6 and x + 1 |
D. |
x + 6 and x – 1 |
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Hint |
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10. |
What is the height of a computer whose base is x2 + 4x + 4 and whose volume is x3 + 3x2 – 4? |
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A. |
(x – 1)( x + 2) |
B. |
x + 1 |
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C. |
x – 1 |
D. |
x + 2 |
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Hint |
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11. |
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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12. |
Which of the following cannot be a rational root of , according to the Rational Zero Theorem? |
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A. |
 |
B. |
2 |
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C. |
 |
D. |
 |
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Hint |
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13. |
List all of the possible rational zeros of 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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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. |
Let f and g be polynomials of degree 3. Is it true that ? |
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A. |
It is true in some cases. |
B. |
No, never. |
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C. |
Yes, always. |
D. |
No, it is only true for polynomials of degree 1. |
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Hint |
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16. |
Which of the following is an inverse of f(x) = 3x - 4? |
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A. |
3x + 4 |
B. |
 |
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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. |
Yes. |
B. |
It is a square root function only if the range is restricted to nonnegative numbers. |
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C. |
No. |
D. |
It is a square root function only if it is a quadratic function that opens up. |
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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. |
$20 |
B. |
$13 |
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C. |
$169 |
D. |
$9.92 |
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Hint |
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