| |
| |
1. |
Find the value of  . |
| |
|
A. |
-17 |
B. |
-3 |
| |
|
C. |
3 |
D. |
17 |
| |
|
Hint |
|
| |
2. |
Use the graphing calculator f(x) =  x3 +  x2 - x, and
locate the relative maximum point. |
| |
|
A. |
(-1, 0.833) |
B. |
There is no relative maximum point. |
| |
|
C. |
(0, 0) |
D. |
(0.5, -0.292) |
| |
|
Hint |
|
| |
3. |
Use the parent graph f(x) =  to graph the function
g(x) =  ; identify the new location of each asymptote. |
| |
|
A. |
The vertical asymptote is at
x = 3 and the horizontal asymptote is at y = 1. |
B. |
The vertical asymptote is at
x = 0, and the horizontal asymptote is at y = -3. |
| |
|
C. |
none of these |
D. |
The vertical asymptote is at
x = -3, and the horizontal asymptote is at y = 0. |
| |
|
Hint |
|
| |
4. |
If sin  =  and has its terminal side in the first quadrant, find the exact value of sin 2. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Write parametric equations of -2x + 5y = 9. |
| |
|
A. |
x = t and  |
B. |
x = t and y = 9 - 5t |
| |
|
C. |
x = t and y = -2t + 5 |
D. |
x = -t and |
| |
|
Hint |
|
| |
6. |
Simplify the expression (5 – 2i) – (2 – 7i). |
| |
|
A. |
7 – 9i |
B. |
3 – 9i |
| |
|
C. |
7 + 5i |
D. |
3 + 5i |
| |
|
Hint |
|
| |
7. |
If r = 2 and a7 = 576, what is the first term of the geometric sequence? |
| |
|
A. |
4.5 |
B. |
9 |
| |
|
C. |
18 |
D. |
2.25 |
| |
|
Hint |
|
| |
8. |
If the k term of Sk is 4 + 2k, find the (k + 1) term. |
| |
|
A. |
k + 1 |
B. |
8 + 2k |
| |
|
C. |
6 + 2k |
D. |
2k |
| |
|
Hint |
|
| |
9. |
Which statement is not true for a binomial experiment? |
| |
|
A. |
The outcomes of each trial must be dependent. |
| |
|
B. |
Each trial has exactly two outcomes. |
| |
|
C. |
There must be a fixed number of trials. |
| |
|
D. |
The probabilities in each trial must be independent. |
| |
|
Hint |
|
| |
10. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee.Graph the fee schedule for different account balances. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Find the minimum value of f(x, y) = x - 4y for the system of inequalities.
2x + y  3
2x + y  -2
y 4
x < 1 |
| |
|
A. |
-16 |
B. |
16 |
| |
|
C. |
-3 |
D. |
-17 |
| |
|
Hint |
|
| |
12. |
Describe the end behavior of this function:
 |
| |
|
A. |
y  3 as x  , y 3 as x  |
| |
|
B. |
y as x , y as x |
| |
|
C. |
y 0 as x , y 0 as x |
| |
|
D. |
y -2 as x , y -2 as x |
| |
|
Hint |
|
| |
13. |
Use the parent graph f(x) = to graph the function g(x) =  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Find the value of cos (x - y) if 0 < x <  , 0 < y < , sin x =  , and cos y =  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
Solve sec2 x =  - 2 for -90° < x < 90°. |
| |
|
A. |
0° |
B. |
-60°, 60° |
| |
|
C. |
60° |
D. |
-30°, 30° |
| |
|
Hint |
|
| |
16. |
Graph the point T . |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
17. |
Find  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
18. |
In a certain arithmetic sequence, a1 = -38, d = 7, and ak = 74. Find k. |
| |
|
A. |
6 |
B. |
17 |
| |
|
C. |
The sequence will never take on the value 74. |
D. |
16 |
| |
|
Hint |
|
| |
19. |
Write the general term of the series  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
20. |
Which series is convergent? |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
|
|