| |
| |
1. |
State the domain and range of the relation. |
| |
|
 |
| |
|
A. |
3 is included in the domain, and 3 is included in the range. |
B. |
All real numbers are included in the domain, and 3 is included in the range. |
| |
|
C. |
3 is included in the domain, and all real numbers are included in the range. |
D. |
All real numbers are included in the domain and the range. |
| |
|
Hint |
|
| |
2. |
What type of relationship or pattern does the scatter plot suggest? |
| |
|
 |
| |
|
A. |
no pattern |
B. |
a linear relationship whose data have a negative relationship |
| |
|
C. |
none of these |
D. |
a linear relationship whose data have a positive relationship |
| |
|
Hint |
|
| |
3. |
Which is the graph of f(x) = [[2x]]? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
The equation 2x - y + 3z = 5 represents _____________ |
| |
|
A. |
a circle. |
B. |
a plane. |
| |
|
C. |
none of these. |
D. |
a line. |
| |
|
Hint |
|
| |
5. |
Find the inverse of  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
The graph of y = -x2 + 1 is symmetric about __________. |
| |
|
A. |
both the x-axis and
the y-axis |
B. |
the y-axis |
| |
|
C. |
neither the x-axis nor
the y-axis |
D. |
the x-axis |
| |
|
Hint |
|
| |
7. |
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 = 0.05(0.7G - 350) |
B. |
I = 0.95(0.7G - 350) |
| |
|
C. |
I = 0.95(0.3G - 350) |
D. |
I = 0.05(0.3G - 350) |
| |
|
Hint |
|
| |
8. |
Use a graphing calculator to graph g(x) = x3 - x + 1 and to determine and classify its extrema. |
| |
|
A. |
relative minimum:
(1.38, -0.6);
relative maximum:
(0.6, 0.62) |
B. |
relative maximum:
(1.38, -0.6);
relative minimum
(0.6, 0.62) |
| |
|
C. |
relative minimum:
(-0.6, 1.38);
relative maximum:
(0.6, 0.62) |
D. |
relative maximum:
(-0.6, 1.38);
relative minimum:
(0.6, 0.62) |
| |
|
Hint |
|
| |
9. |
Use the function of best fit, y = 0.9x + 1.3, to predict y when x = 5. |
| |
|
A. |
2.3 |
B. |
5.8 |
| |
|
C. |
6.7 |
D. |
3.2 |
| |
|
Hint |
|
| |
10. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
| |
|
A. |
 = 2
 = 6
 = 12 |
B. |
= 0
= 2
= 4 |
| |
|
C. |
= 2
= 6
= 42 |
D. |
= 2
= 6
= 36 |
| |
|
Hint |
|
| |
11. |
Write an equation of a line that has no slope and passes through
the point (5,-6). |
| |
|
A. |
x = 5 |
B. |
y = 5 |
| |
|
C. |
y = -6 |
D. |
x = -6 |
| |
|
Hint |
|
| |
12. |
Solve the system of 3 equations by substitution. x = 3y + 2z
2x + 3y + 2z = 3
-x + y - z = 6 |
| |
|
A. |
no solution |
B. |
(8, 4, -2) |
| |
|
C. |
infinite solutions |
D. |
(1, 3, -4) |
| |
|
Hint |
|
| |
13. |
Determine the coordinates of a dilated figure with a scale factor of 1.5 if the vertices of the original are A(3,5), B(-4,5), C(-4,-5), and D(3,-5) |
| |
|
A. |
A(1.5,3.5), B(-5.5,3.5), C(-5.5,-6.5) and D(1.5,-6.5) |
| |
|
B. |
A(4.5,7.5), B(-6,7.5), C(-6,-7.5) and D(4.5,-7.5) |
| |
|
C. |
A(4.5,6.5), B(-2.5,6.5), C(-2.5,-3.5) and D(4.5,-3.5) |
| |
|
D. |
A(1.5,2.5), B(-2,2.5), C(-2,-2.5), and D(1.5,-2.5) |
| |
|
Hint |
|
| |
14. |
Which is an odd function? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
Determine which ordered pair is a solution of the inequality y > |3x - 4| + 3. |
| |
|
A. |
(0,0) |
B. |
(0,7) |
| |
|
C. |
(1,5) |
D. |
(3,7) |
| |
|
Hint |
|
| |
16. |
Given the function f(x) =  , is the inverse a function? How do you know? |
| |
|
A. |
No, this function fails the horizontal line test. |
B. |
Yes, this function passes the vertical line test. |
| |
|
C. |
Yes, this function fails the horizontal line test. |
D. |
No, this function passes the horizontal line test. |
| |
|
Hint |
|
| |
17. |
Graph the equation using the graph of the given parent function.
y = 1  , p(x) = x2 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
18. |
The function f(x) = -(x - 3)2 + 4 has a critical point at x = 3. Determine and classify this point. |
| |
|
A. |
(3,4) is the absolute maximum of this function. |
| |
|
B. |
(3,4) is the absolute minimum of this function. |
| |
|
C. |
(3,4) is the point of inflection. |
| |
|
D. |
(3,4) is the relative maximum of this function. |
| |
|
Hint |
|
| |
19. |
Determine the equation of the vertical asymptote for the function:
f(x) =  + 2. |
| |
|
A. |
y = 0 |
B. |
x = -2 |
| |
|
C. |
x = 0 |
D. |
x = 2 |
| |
|
Hint |
|
| |
20. |
Determine the slant asymptote for f(x) =  . |
| |
|
A. |
y = x + 3 |
B. |
y = 4 |
| |
|
C. |
y = -x + 3 |
D. |
y = x + 4 |
| |
|
Hint |
|
|
|