| |
| |
1. |
Find 4[p(x)] if p(x) = x2 - 3x + 2. |
| |
|
A. |
4x2 - 3x + 2 |
B. |
16x2 - 12x + 2 |
| |
|
C. |
x2 - 12x + 2 |
D. |
4x2 - 12x + 8 |
| |
|
Hint |
|
| |
2. |
Find 2p(a) + p(a - 1) if p(x) = x2 + x. |
| |
|
A. |
3a2 + 3a |
B. |
3a2 - a |
| |
|
C. |
3a2 |
D. |
3a2 + a |
| |
|
Hint |
|
| |
3. |
Find f(-2) for f(x) = 2x4 - x3 + 5x + 1. |
| |
|
A. |
-29 |
B. |
-57 |
| |
|
C. |
31 |
D. |
-21 |
| |
|
Hint |
|
| |
4. |
What are all of the rational zeros of the function
q(x) = x4 - x3 + 4x2 - 4x? |
| |
|
A. |
0, 1 |
B. |
0, 1, ±2 |
| |
|
C. |
0 |
D. |
0, -2 |
| |
|
Hint |
|
| |
5. |
Which equation is in quadratic form? |
| |
|
A. |
 |
B. |
x4 - x2 + x - 1 = 0 |
| |
|
C. |
 |
D. |
3x3 + 3x + 3 = 0 |
| |
|
Hint |
|
| |
6. |
Solve y4 - 18y2 + 81 = 0. |
| |
|
A. |
-3, 3 |
B. |
3 |
| |
|
C. |
-3, 3, -3i, 3i |
D. |
3, 3i |
| |
|
Hint |
|
| |
7. |
Which is the graph of a function and its inverse? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Which pair of functions are inverses? |
| |
|
A. |
f(x) = 4x, g(x) = -4x |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
f(x) = 2x + 1,
g(x) = 2x - 1 |
| |
|
Hint |
|
| |
9. |
Graph  . Then estimate the coordinates at which the relative maxima and relative minima occur. |
| |
|
A. |
minimum: 1, maximum: –3 |
B. |
minimum: –5,maximum: 1 |
| |
|
C. |
minimum: 1,maximum: –5 |
D. |
minimum: –3,maximum: 1 |
| |
|
Hint |
|
| |
10. |
Find consecutive values of x between which each real zero of the function  is located. |
| |
|
A. |
–1 and 0, 0 and 1, and 1 and 2 |
B. |
–1 and 0, 0 and 1 |
| |
|
C. |
0 and 1, 1 and 2 |
D. |
–1 and 0, 1 and 2 |
| |
|
Hint |
|
| |
11. |
What is the height of a computer whose base is x2 + 4x + 4 and whose volume is x3 + 3x2 – 4? |
| |
|
A. |
x + 2 |
B. |
x – 1 |
| |
|
C. |
(x – 1)( x + 2) |
D. |
x + 1 |
| |
|
Hint |
|
| |
12. |
Find all the zeros of  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
How many possible real zeros are there for the polynomial  ? |
| |
|
A. |
6 |
B. |
0 |
| |
|
C. |
2 |
D. |
4 |
| |
|
Hint |
|
| |
14. |
Which of the following cannot be a rational root of  , according to the Rational Zero Theorem? |
| |
|
A. |
 |
B. |
2 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
Given  and  , what is  ? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
16. |
Let f and g be polynomials of degree 3. Is it true that  ? |
| |
|
A. |
No, never. |
B. |
It is true in some cases. |
| |
|
C. |
No, it is only true for polynomials of degree 1. |
D. |
Yes, always. |
| |
|
Hint |
|
| |
17. |
What is the domain and range of  ? |
| |
|
A. |
D: 
R:  |
B. |
D:
R:  |
| |
|
C. |
D: 
R: |
D. |
D:
R: |
| |
|
Hint |
|
| |
18. |
What is the domain and range of  ? |
| |
|
A. |
D: 
R:  |
B. |
D:
R: |
| |
|
C. |
D:
R: |
D. |
D:
R: |
| |
|
Hint |
|
|
|