1. Algebra II Name________________________
Test 2 Review Period_____
1. Write the equation for each parent function below and determine the domain and range
using inequalities.
Function: _____________ Function: _____________ Function: _____________
Domain: ______________ Domain: ______________ Domain: ______________
Range: ______________ Range: ______________ Range : ______________
Solve the inequality. Graph the solution set.
2. 4(2x +1) < 23 + 9x
Solve the compound inequality. Graph the solution set.
3. 3x + 7 <10 and 7x + 2 > – 5

2. 4. 3x – 4 < –16 or 5x + 7 > 23
5. An absolute value equation _________________ has an extraneous solution.
a. always b. sometimes c. never
Solve the inequality. Graph the solution.
6. | |
7. | |

3. Write and solve by using a compound inequality.
8. Four less than three times a number is at most 29 and at least -13.
9. The sum of three times a number and two lies between 8 and 11.
10. Employment figures for the United States are given below. Use the data to make a scatter
plot.
Unemployed
Year
(thousands) 1 00 00
1980 9875 U n e m p lo y e d (t h o u sa n d s)
80 00
1985 5002
1989 2012 60 00
1990 1968
40 00
1991 1780
1992 1701 200 0
1993 1658
1994 1647
20 00
1 98 6
1 98 8
1 99 0
1 99 2
19 84
19 94
19 96
19 98
1 98 2
19 80
Y ear
A. Which parent function does the plot most closely resemble?__________________________
B. Is there a positive or negative correlation?________________________
C. Draw the line or curve of best fit and predict the number of unemployed in
2000._____________
Given a parent graph of y = f(x)2, list ALL the transformations in each graph.
11. y = -(x + 3)2 - 5 12. f(x) = 2(x)2 – 7

4. Graph the following transformations from the absolute value function:
13. y = lxl - 4 14. y = -lx - 2l + 1
15. State the domain and range for #13 16. State the domain and range for #14
using interval notation. using interval notation.