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1. |
When x3 - 4x2 + x - 5 is divided by x - 2, the quotient is _____. |
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A. |
x - 2 |
B. |
x2 - 2x - 3 |
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C. |
x2 - x + 25 |
D. |
-11 |
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Hint |
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2. |
Find f(x + h) for f(x) = x2 + 2x. |
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A. |
x2 + 2x + h |
B. |
x2 + 2xh + h2 + 2x |
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C. |
x2 + 2x + 2h |
D. |
x2 + 2xh + h2 + 2x + 2h |
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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. |
-21 |
B. |
-57 |
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C. |
-29 |
D. |
31 |
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Hint |
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4. |
The function whose graph is shown has _____. |
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A. |
no relative maxima |
B. |
two relative minima |
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C. |
two relative maxima |
D. |
one relative minimum |
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Hint |
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5. |
One zero of h(x) = x3 - 3x2 + x + 5 is 2 - i. Which of the following is another zero? |
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A. |
2 + i |
B. |
1 |
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C. |
1 - 2i |
D. |
1 - i |
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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. |
 |
D. |
-3 |
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Hint |
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7. |
Solve y4 - 18y2 + 81 = 0. |
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A. |
-3, 3, -3i, 3i |
B. |
3 |
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C. |
3, 3i |
D. |
-3, 3 |
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Hint |
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8. |
Find  if g(x) = x - 5 and h(x) = |x|. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Determine the inverse of the function  |
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A. |
x + 2 |
B. |
2x + 2 |
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C. |
2x + 1 |
D. |
2x - 2 |
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Hint |
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10. |
Which pair of functions are inverses? |
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A. |
f(x) = 2x + 1,
g(x) = 2x - 1 |
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B. |
 |
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C. |
f(x) = 4x, g(x) = -4x |
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D. |
 |
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Hint |
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11. |
If a graph represents an odd-degree polynomial function, what must be true? |
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A. |
It must have at least three roots. |
B. |
It must pass through the x-axis. |
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C. |
As  ,  |
D. |
It may not have any real roots. |
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Hint |
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12. |
Find consecutive values of x between which each real zero of the function  is located. |
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A. |
–5 and –4 |
B. |
3 and 4 |
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C. |
no solution |
D. |
–3 and –4 |
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Hint |
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13. |
Write the expression  in quadratic form. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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14. |
How many possible positive real zeros are there for the polynomial  ? |
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A. |
5 |
B. |
3 |
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C. |
1 |
D. |
2 |
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Hint |
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15. |
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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16. |
Given that  and  , what value would not be in the domain of  ? |
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A. |
|
B. |
 |
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C. |
0 |
D. |
3 |
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Hint |
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17. |
What is the domain and range of  ? |
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A. |
D: 
R:  |
B. |
D:
R:  |
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C. |
D: 
R: |
D. |
D:
R: |
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Hint |
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18. |
Find the x- and y-intercepts of  . |
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A. |
x: no intercept, y: |
B. |
x: , y: |
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C. |
x:, y: no intercept |
D. |
x: 7, y: |
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Hint |
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