| |
| |
1. |
The graph |y| = 4 - |2x| is symmetric with respect to __________. |
| |
|
A. |
neither the x-axis nor
the y-axis |
B. |
both the x-axis and
the y-axis |
| |
|
C. |
the y-axis |
D. |
the x-axis |
| |
|
Hint |
|
| |
2. |
If you use the parent graph y =  as a reference, how would you
graph y = - 3? |
| |
|
A. |
Move the parent graph down 3 units. |
B. |
Move the parent graph to the left 3 units. |
| |
|
C. |
Move the parent graph to the right 3 units. |
D. |
Move the parent graph up 3 units. |
| |
|
Hint |
|
| |
3. |
If you use the parent graph y = as a reference, describe how you
would graph y =  . |
| |
|
A. |
Move the parent graph 2 units to the right and then up 5 units. |
B. |
Move the parent graph 2 units to the left and then down 5 units. |
| |
|
C. |
Move the parent graph 2 units to the right and then down 5 units. |
D. |
Move the parent graph 2 units to the left and then up 5 units. |
| |
|
Hint |
|
| |
4. |
Graph y = 1 +  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Suppose I = 0.05(0.6G - 400), where G = the gross monthly pay and
I = the amount of the investment. Determine the equation which represents the inverse process. |
| |
|
A. |
G =  |
B. |
G =  |
| |
|
C. |
G =  |
D. |
G =  |
| |
|
Hint |
|
| |
6. |
Determine the interval(s) on which the function f(x) = 2|x + 1| + 3 is increasing and the interval(s) on which the function is decreasing. |
| |
|
A. |
The function is increasing for x > -1, and the function is
decreasing for x < -1. |
| |
|
B. |
The function is increasing for x > 3, and the function is
decreasing for x < 3. |
| |
|
C. |
The function is decreasing for x > 0, and the function is
increasing for x < 0. |
| |
|
D. |
The function is increasing for x > 2, and the function is
decreasing for x < 2. |
| |
|
Hint |
|
| |
7. |
Locate the extrema for the graph of y = f(x). |
| |
|
 |
| |
|
A. |
The extrema are (-1, 1) and (4, 3). |
B. |
The extrema are (-2, 1) and (4, 3). |
| |
|
C. |
The extrema are (-2, 1),
(1, -1) and (4, 3). |
D. |
The extrema are (-2, 1) and (1, -1). |
| |
|
Hint |
|
| |
8. |
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. |
(0.5, -0.292) |
D. |
(0, 0) |
| |
|
Hint |
|
| |
9. |
Which is an odd function? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Which is the graph of y  ? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Solve |3x + 5| - 4 < 2. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Determine the intervals on which the function f(x) = x3 + x2 + x is increasing and the intervals on which the function is decreasing. |
| |
|
A. |
increasing for x < 0 and decreasing for x > 0 |
| |
|
B. |
decreasing for all x |
| |
|
C. |
increasing for all x |
| |
|
D. |
increasing for x < 0 and x > 0 |
| |
|
Hint |
|
| |
13. |
Determine the equation of the horizontal asymptote for the function:
f(x) =  + 2. |
| |
|
A. |
y = 0 |
B. |
y = -2 |
| |
|
C. |
x = 0 |
D. |
y = 2 |
| |
|
Hint |
|
| |
14. |
Determine the slant asymptote for f(x) =  . |
| |
|
A. |
y = x + 4 |
B. |
y = x + 3 |
| |
|
C. |
y = -x + 3 |
D. |
y = 4 |
| |
|
Hint |
|
| |
15. |
If y varies jointly as x and the cube root of z,
and y = 30 when x = -5
and z = 27, find y when z = -8 and x = 0.5. |
| |
|
A. |
y = 2 |
B. |
y = 20 |
| |
|
C. |
y = -2 |
D. |
y = 4 |
| |
|
Hint |
|
| |
16. |
Which best describes this graph? |
| |
|
 |
| |
|
A. |
direct variation |
B. |
joint variation |
| |
|
C. |
inverse variation |
D. |
none of these |
| |
|
Hint |
|
|
|