| |
| |
1. |
Which is the graph of g(x) = |6 - |2x||? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Which of the following shows the system of equations using a matrix equation? |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Solve |x + 4| > 2. |
| |
|
A. |
x > -6 or x < -2 |
B. |
x < -6 or x > -2 |
| |
|
C. |
x < -6 |
D. |
-6 < x < -2 |
| |
|
Hint |
|
| |
4. |
Use the graphing calculator f(x) =  x3 +  x2 - x, and
locate the relative maximum point. |
| |
|
A. |
(0.5, -0.292) |
B. |
There is no relative maximum point. |
| |
|
C. |
(-1, 0.833) |
D. |
(0, 0) |
| |
|
Hint |
|
| |
5. |
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 = 0, and the horizontal asymptote is at y = -3. |
B. |
none of these |
| |
|
C. |
The vertical asymptote is at
x = -3, and the horizontal asymptote is at y = 0. |
D. |
The vertical asymptote is at
x = 3 and the horizontal asymptote is at y = 1. |
| |
|
Hint |
|
| |
6. |
If y varies inversely as x and y = 12 when x = 7, find x when y = 2. |
| |
|
A. |
5 |
B. |
10 |
| |
|
C. |
42 |
D. |
7 |
| |
|
Hint |
|
| |
7. |
Find the value of k so that the remainder of (x3 - 3x2 + kx - 6) ÷ (x + 2) is 0. |
| |
|
A. |
k = 11 |
B. |
k = -11 |
| |
|
C. |
k = 6 |
D. |
k = -13 |
| |
|
Hint |
|
| |
8. |
Identify all angles that are coterminal with angle 35°. |
| |
|
A. |
35° + 270k°, k is an integer |
| |
|
B. |
35° + 180k°, k is an integer |
| |
|
C. |
35° + 360k°, k is an integer |
| |
|
D. |
35° + 90k°, k is an integer |
| |
|
Hint |
|
| |
9. |
If  , find  . |
| |
|
A. |
3 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Suppose  is an angle in standard position whose terminal side
lies in Quadrant II. If  , find  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
|
D. |
 |
| |
|
Hint |
|
| |
11. |
Determine if the function is periodic. If so, state the period. |
| |
|
 |
| |
|
A. |
no |
B. |
yes; 2 |
| |
|
C. |
yes; 4 |
D. |
yes; 1 |
| |
|
Hint |
|
| |
12. |
Determine the exact value of cos, given sin and 0° < < 90° |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Find a numerical value of one trigonometric function of x if  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Complete the identity  = ________. |
| |
|
A. |
cos x |
B. |
sin x |
| |
|
C. |
tan x |
D. |
cot x |
| |
|
Hint |
|
| |
15. |
Suppose the equation  models a buoy bobbing up and down in the water. The equilibrium point is y = 0. Describe the location of the buoy when t = 0. |
| |
|
A. |
6 units above equilibrium |
B. |
equilibrium |
| |
|
C. |
0.5 unit above equilibrium |
D. |
6 units below equilibrium |
| |
|
Hint |
|
| |
16. |
Find a linear equation that can be used as a model for the data shown. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
17. |
Determine the equation of the perpendicular bisector of the line segment with endpoints (1,5) and (-6, 3). |
| |
|
A. |
2x + 7y + 23 = 0 |
B. |
14x + 4y + 19 = 0 |
| |
|
C. |
14x + 4y - 19 = 0 |
D. |
2x + 7y - 23 = 0 |
| |
|
Hint |
|
| |
18. |
Determine two points that appear to represent the data in the scatter plot. Then find and interpret the slope. |
| |
|
 |
| |
|
A. |
Paul's test scores improve an average of 5 points with each test. |
| |
|
B. |
Paul's test scores improve an average of 15 points with each test. |
| |
|
C. |
Paul's test scores improve an average of 3 points with each test. |
| |
|
D. |
Paul's test scores are neither increasing nor decreasing. |
| |
|
Hint |
|
| |
19. |
Given the function f(x) =  , is the inverse a function? How do you know? |
| |
|
A. |
Yes, this function fails the horizontal line test. |
B. |
No, this function passes the horizontal line test. |
| |
|
C. |
No, this function fails the horizontal line test. |
D. |
Yes, this function passes the vertical line test. |
| |
|
Hint |
|
| |
20. |
If cos =  and has its terminal side in the first quadrant, find the exact value of cos  . |
| |
|
A. |
 |
B. |
- |
| |
|
C. |
 |
D. |
- |
| |
|
Hint |
|
|
|