| |
| |
1. |
Find a linear equation that can model the data shown in the graph. |
| |
|
 |
| |
|
A. |
3x - 2y + 6 = 0 |
B. |
2x -3y + 6 = 0 |
| |
|
C. |
2x + 5y - 3 = 0 |
D. |
2x + 3y + 6 = 0 |
| |
|
Hint |
|
| |
2. |
Find the value of . |
| |
|
A. |
17 |
B. |
-3 |
| |
|
C. |
3 |
D. |
-17 |
| |
|
Hint |
|
| |
3. |
Find the inverse of . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Describe how the graphs of f(x) = |2x| and g(x) = -|2x| are related. |
| |
|
A. |
None are true. |
B. |
The graph of g(x) is a reflection of the graph of f(x) over the x-axis. |
| |
|
C. |
The graph of g(x) is a reflection of the graph of f(x) over the x- and y-axes. |
D. |
The graph of g(x) is a reflection of the graph of f(x) over the y-axis. |
| |
|
Hint |
|
| |
5. |
Which is the graph of f(x) = x2 - 3 and its inverse? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Describe the end behavior of f(x) = x2 + 1. |
| |
|
A. |
As x , f(x) , and as x , f(x) . |
| |
|
B. |
As x , f(x) , and as x , f(x) . |
| |
|
C. |
As x ,f(x) , and as x , f(x) . |
| |
|
D. |
none of these |
| |
|
Hint |
|
| |
7. |
Determine whether the given critical point of x = -7 is the location of a relative maximum, relative minimum, or a point of inflection for the function f(x) = x3 + x2 + 1. |
| |
|
A. |
point of inflection |
B. |
minimum |
| |
|
C. |
none is correct |
D. |
maximum |
| |
|
Hint |
|
| |
8. |
If y varies jointly as the square of x and the cube of z and y = 9 when x = 3 and z = 4, find y when x = 8 and z = 5. |
| |
|
A. |
45 |
B. |
125 |
| |
|
C. |
40 |
D. |
100 |
| |
|
Hint |
|
| |
9. |
Use y = to find the value of y when x = 14. |
| |
|
A. |
56 |
B. |
98 |
| |
|
C. |
8 |
D. |
28 |
| |
|
Hint |
|
| |
10. |
How many direction changes are there in the graph of a quartic function? |
| |
|
A. |
3 |
B. |
2 |
| |
|
C. |
1 |
D. |
0 |
| |
|
Hint |
|
| |
11. |
Given and a = 5, b = 2 and A = 115°, find B. |
| |
|
A. |
21.3° |
B. |
14.6° |
| |
|
C. |
22.5° |
D. |
31.7° |
| |
|
Hint |
|
| |
12. |
In given A = 100°, b = 7 and c = 6, find a. |
| |
|
A. |
about 8.4 |
B. |
about 10.0 |
| |
|
C. |
about 7.5 |
D. |
about 6.3 |
| |
|
Hint |
|
| |
13. |
A sector has an area of 14.5 square meters. The radius of the circle is 4 meters. Find the radian measure of the central angle to the nearest tenth. |
| |
|
A. |
1.8 radians |
B. |
7.3 radians |
| |
|
C. |
3.6 radians |
D. |
14.6 radians |
| |
|
Hint |
|
| |
14. |
Find sin 5 by referring to the graph of the sine function. |
| |
|
 |
| |
|
A. |
 |
B. |
1 |
| |
|
C. |
0 |
D. |
-1 |
| |
|
Hint |
|
| |
15. |
Write an equation in slope-intercept form with a slope of that passes through the point (-3, -5). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
16. |
Find the inverse of . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
17. |
Complete the identity = _______. |
| |
|
A. |
sin x |
B. |
sec x |
| |
|
C. |
tan x |
D. |
-cos x |
| |
|
Hint |
|
| |
18. |
If sin = , find cos 2 . |
| |
|
A. |
 |
B. |
- |
| |
|
C. |
 |
D. |
- |
| |
|
Hint |
|
| |
19. |
Find the value of tan 2 if sin = and 0 < < . |
| |
|
A. |
- |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
20. |
Solve sec2 x = - 2 for -90° < x < 90°. |
| |
|
A. |
-30°, 30° |
B. |
60° |
| |
|
C. |
0° |
D. |
-60°, 60° |
| |
|
Hint |
|
|
|