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1. |
Find p(2) for p(x) = x4 + 3x3 - 2x2 - 4x + 1. |
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A. |
25 |
B. |
-1 |
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C. |
-7 |
D. |
12 |
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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. |
-2 |
B. |
-4 |
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C. |
0 |
D. |
3 |
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Hint |
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3. |
The function whose graph is shown has _____. |
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A. |
two relative minima |
B. |
one relative minimum |
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C. |
two relative maxima |
D. |
no relative maxima |
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Hint |
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4. |
What is the polynomial function of least degree with integral coefficients that has zeros 2 and 3i? |
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A. |
y = x2 + x - 6 |
B. |
y = x3 - 2x2 - 9x + 18 |
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C. |
y = x3 - 2x2 + 9x - 18 |
D. |
y = x2 - 5x - 6 |
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Hint |
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5. |
Find all of the rational zeros of the function p(x) = 2x3 + 3x2 - 11x - 6. |
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A. |
 |
B. |
-3, 1 |
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C. |
-6 |
D. |
-3, 2 |
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Hint |
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6. |
Which equation is in quadratic form? |
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A. |
 |
B. |
3x3 + 3x + 3 = 0 |
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C. |
 |
D. |
x4 - x2 + x - 1 = 0 |
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Hint |
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7. |
Which is not a root of z3 + 8 = 0? |
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A. |
 |
B. |
 |
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C. |
2 |
D. |
-2 |
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Hint |
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8. |
Solve  . |
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A. |
4 |
B. |
-4, 2 |
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C. |
4, 16 |
D. |
16 |
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Hint |
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9. |
Which pair of functions are inverses? |
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A. |
 |
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B. |
 |
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C. |
f(x) = 2x + 1,
g(x) = 2x - 1 |
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D. |
f(x) = 4x, g(x) = -4x |
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Hint |
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10. |
If a graph represents an even-degree polynomial function, what cannot be true? |
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A. |
It could have a negative leading coefficient and  as  . |
B. |
It could have 1 real root. |
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C. |
It could be true that as ,. |
D. |
It could open downward. |
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Hint |
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11. |
Which graph best represents the function  ? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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12. |
Simplify  |
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A. |
 |
B. |
 |
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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  and  , what is  ? |
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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. |
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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17. |
Find the x- and y-intercepts of  . |
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A. |
x: , y: |
B. |
x: no intercept, y: |
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C. |
x: 7, y: |
D. |
x:, y: no intercept |
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Hint |
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18. |
A square root function,  , can be used to represent income made on an investment, with x being the amount originally spent, and f(x) being the profit. How much money would have to be spent in order to make $50? |
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A. |
$2000 |
B. |
$20 |
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C. |
$7.91 |
D. |
$2050 |
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Hint |
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