| |
| |
1. |
Determine the symmetry of f(x) = x7. |
| |
|
A. |
symmetric with respect to only the y-axis |
B. |
symmetric with respect to the origin |
| |
|
C. |
not symmetric |
D. |
symmetric with respect to only the x-axis |
| |
|
Hint |
|
| |
2. |
Determine the symmetry of g(x) = . |
| |
|
A. |
symmetric with respect to only the x-axis |
B. |
symmetric with respect to the origin |
| |
|
C. |
not symmetric |
D. |
symmetric with respect to only the y-axis |
| |
|
Hint |
|
| |
3. |
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 right 3 units. |
| |
|
C. |
Move the parent graph up 3 units. |
D. |
Move the parent graph to the left 3 units. |
| |
|
Hint |
|
| |
4. |
If you use the parent graph f(x) = x2, describe how you would graph g(x) = (x - 4)2 - 2. |
| |
|
A. |
Move the parent graph left 4 units and down 2 units. |
B. |
Move the parent graph left 4 units and up 2 units. |
| |
|
C. |
Move the parent graph right 4 units and up 2 units. |
D. |
Move the parent graph right 4 units and down 2 units. |
| |
|
Hint |
|
| |
5. |
Which point is one of an infinite number of solutions for the inequality y > (x + 2)2 - 4? |
| |
|
A. |
(1, 5) |
B. |
(-1, 5) |
| |
|
C. |
(3, 4) |
D. |
(2, 12) |
| |
|
Hint |
|
| |
6. |
A family has a monthly net pay N which is 70% of their gross monthly pay G. They decided to subtract their monthly food allowance of $350 from their monthly net pay and invest 5% of the remainder. Write an equation for the investment each month I, given the above restrictions. |
| |
|
A. |
I = 0.95(0.7G - 350) |
B. |
I = 0.95(0.3G - 350) |
| |
|
C. |
I = 0.05(0.3G - 350) |
D. |
I = 0.05(0.7G - 350) |
| |
|
Hint |
|
| |
7. |
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 > 3, and the function is decreasing for x < 3. |
| |
|
B. |
The function is increasing for x > 2, and the function is decreasing for x < 2. |
| |
|
C. |
The function is decreasing for x > 0, and the function is increasing for x < 0. |
| |
|
D. |
The function is increasing for x > -1, and the function is decreasing for x < -1. |
| |
|
Hint |
|
| |
8. |
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), (1, -1) and (4, 3). |
| |
|
C. |
The extrema are (-2, 1) and (4, 3). |
D. |
The extrema are (-2, 1) and (1, -1). |
| |
|
Hint |
|
| |
9. |
The function f(x) = 3x2 - x3 has critical points at x = 0 and x = 2. Determine whether each of these critical points is the location of a relative maximum, relative minimum, or a point of inflection. |
| |
|
A. |
(0, 0) minimum and (2, 4) point of inflection |
B. |
None of these is correct. |
| |
|
C. |
(0, 0) maximum and (2, 4) minimum |
D. |
(0, 0) minimum and (2, 4) maximum |
| |
|
Hint |
|
| |
10. |
Determine the asymptotes for the graph of f(x) = . |
| |
|
A. |
none of these |
B. |
a horizontal asymptote at x = 3 and a vertical asymptote at y = 2 |
| |
|
C. |
a vertical asymptote at x = -3 and a horizontal asymptote at y = 1 |
D. |
a vertical asymptote at x = 3 and a horizontal asymptote at y = 2 |
| |
|
Hint |
|
| |
11. |
Determine which ordered pair is a solution of the inequality y > |3x - 4| + 3. |
| |
|
A. |
(1,5) |
B. |
(0,0) |
| |
|
C. |
(3,7) |
D. |
(0,7) |
| |
|
Hint |
|
| |
12. |
Graph the equation using the graph of the given parent function. y = 1 , p(x) = x2 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Describe the end behavior of the function: f(x) = x4 - x3 + x2 + x - 1 |
| |
|
A. |
f(x) as x , f(x) as x  |
| |
|
B. |
f(x) as x , f(x) as x  |
| |
|
C. |
f(x) as x , f(x) as x  |
| |
|
D. |
f(x) as x , f(x) as x  |
| |
|
Hint |
|
| |
14. |
Use the parent graph f(x) = to graph the function g(x) = . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
If y varies directly as the square root of x and x = 25 when y = -15, find x when y = -108. |
| |
|
A. |
x = 1500 |
B. |
x = -5 |
| |
|
C. |
x = 4500 |
D. |
x = 6 |
| |
|
Hint |
|
| |
16. |
If y varies inversely as the cube of x and y = 8 when x = 2, find x when y = 1. |
| |
|
A. |
x = 8 |
B. |
x = 4 |
| |
|
C. |
x = 2 |
D. |
x = 1 |
| |
|
Hint |
|
|
|