| |
| |
1. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
| |
|
A. |
12x2 - 36x + 28 |
B. |
12x2 + 36x + 28 |
| |
|
C. |
6x2 - 5 |
D. |
6x2 + 5 |
| |
|
Hint |
|
| |
2. |
Solve the system of equations y = 0.5x and 4y = x - 2 by graphing. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Sketch the graph of the function f(x) = |x2 - 6|. |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
4. |
State the degree of the polynomial function f(x) = x4 - 2x2 + 3x - 1. |
| |
|
A. |
2 |
B. |
5 |
| |
|
C. |
4 |
D. |
3 |
| |
|
Hint |
|
| |
5. |
Solve  +  <  . |
| |
|
A. |
a < 0 or 0 < a < 5 |
B. |
0 < a < 5 |
| |
|
C. |
a < 0 or a > 5 |
D. |
a > 0 or 0 < a < 5 |
| |
|
Hint |
|
| |
6. |
Determine the type of polynomial function that could be used to represent the data in the following scatter plot. |
| |
|
 |
| |
|
A. |
cubic |
B. |
linear |
| |
|
C. |
quartic |
D. |
quadratic |
| |
|
Hint |
|
| |
7. |
If the angle the rope makes with the level ground is 46° 30', how long is the rope? |
| |
|
 |
| |
|
A. |
about 23.6 feet |
B. |
about 25.8 feet |
| |
|
C. |
about 51.8 feet |
D. |
about 47.5 feet |
| |
|
Hint |
|
| |
8. |
Complete the identity  _______. |
| |
|
A. |
sin x |
B. |
tan x |
| |
|
C. |
cot x |
D. |
cos x |
| |
|
Hint |
|
| |
9. |
Let  . Find  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
If M(5, -4) is the midpoint of  and C has coordinates (9, -2), find the coordinates of D. |
| |
|
A. |
(7, -3) |
B. |
(-6, 1) |
| |
|
C. |
(-3, 7) |
D. |
(1, -6) |
| |
|
Hint |
|
| |
11. |
Collinear points lie on the same line. Find the value of k for which the points (3, 7), (-5, -1), and (-1, k) are collinear. |
| |
|
A. |
2 |
B. |
4 |
| |
|
C. |
-1 |
D. |
3 |
| |
|
Hint |
|
| |
12. |
If rectangle ABCD has vertices A(0, 0), B(a, 0), and C(a, b), find the coordinates of D. |
| |
|
A. |
(a, 0) |
B. |
(0, -b) |
| |
|
C. |
(0, b) |
D. |
(0, 3) |
| |
|
Hint |
|
| |
13. |
Suppose the equation  models the number of liters of air in the lungs of a gorilla at t seconds. Use a graphing calculator to graph the function with Xmin = 0 and Xmax = 10. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Which series is divergent? |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
15. |
Use the first three terms of the trigonometric series to approximate the value of  to four decimal places. |
| |
|
A. |
0.0408 |
B. |
0.0200 |
| |
|
C. |
1.9800 |
D. |
-0.4665 |
| |
|
Hint |
|
| |
16. |
A 1% level of confidence is given when ______. |
| |
|
A. |
P = 1% |
B. |
P = 95% |
| |
|
C. |
none of these |
D. |
P = 99% |
| |
|
Hint |
|
| |
17. |
Determine the intervals on which the function f(x) =  is increasing and the intervals on which the function is decreasing. |
| |
|
A. |
decreasing for x < -1 and increasing for x > -1 |
| |
|
B. |
increasing for x < -1 and decreasing for x > -1 |
| |
|
C. |
increasing for all x |
| |
|
D. |
increasing for x < -1 and x > -1 |
| |
|
Hint |
|
| |
18. |
Find the value of log73638 using the change of base formula. |
| |
|
A. |
4.2135 |
B. |
2.9446 |
| |
|
C. |
2.6392 |
D. |
5.3721 |
| |
|
Hint |
|
| |
19. |
If the population of a city can be modeled by the equation y = 12,500(1.03) x, where x is the number of years since 1965, what is the estimated population in 2006? |
| |
|
A. |
41,999 |
B. |
45,100 |
| |
|
C. |
549,464 |
D. |
38, 611 |
| |
|
Hint |
|
| |
20. |
Find the probability of picking a fashion magazine, then a sports magazine from a stack of 12 fashion, 9 sports, and 10 home and garden magazines. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
|
|