Name: _______________________________________________
Date: _____________________________
Algebra 2 Ch. 2 Test Review
Find the domain and range of each relation, and determine whether or not it is a function.
1. {(5, 0), (8, 1), (1, 3), (5, 2), (3, 8)} Function Y/N _____
Domain ____________ Range ____________
2.
{(10, 2), ((-10, 2), (6, 4), (5, 3), (-6, 7)} Function Y/N _____ Domain ____________
Range ____________
3.
Draw a mapping diagram for the relation {(-4, -1), (-1, 2), (-2, 2), (3, -1), (1, 4)}. Is the relation a function? Explain.
Function Y/N _____
For Exercises 4-5, suppose f(x) = 2x - 5 and g(x) = |-3x-1|. Find each value.
f (1)  g (2)
4. f 3
5.

For the direct variation in problem 6, find the constant of variation. Then find the value of y when x =
3
4
.
6.
y = 3 when x = 4
7.
The number of minutes a freight train takes to pass an intersection varies directly with the number of cars in the train. A 150car train passes in 3 minutes. How long will a 210-car train take to pass?
Find the slope of each line.
8. 4x + 3y = 2
9. Through (3, 5) and (1, 1)
10. Perpendicular to
y  32 x  14
Name: _______________________________________________
Graph each function.
11. y  3x  4
Date: _____________________________
12. y  | 5x - 3 | - 1
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
14. y  3 -
13. y  - | x - 3 |  1
6
5
5
4
4
3
3
2
2
1
1
1
2
3
4
5
6
2
3
4
5
6
1
2
3
4
5
6
2
x
5
6
-6 -5 -4 -3 -2 -1
1
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Write the equation of the line in standard form with the given slope through the given point.
15. slope = 4;  2,5
16. slope = 52 ; 6,7 


For each pair of points in 17 and 18, write an equation in point-slope form, then convert it into slope-intercept form.
17. (-1, -6) and (-2, 10)
18. (9, 5) and (8, 2)
point-slope ______________________________
point slope __________________________________
slope-intercept _______________________
slope-intercept _____________________________
Name: _______________________________________________
Date: _____________________________
19. The table below displays the amounts the Jackson family spent on vacations during the years 1996-2001.
Year
1
2
3
4
5
6
Cost ( in hundreds)
8
12
12
15
17
20
a.
Make a scatter plot of the data, and draw a trend line.
b.
Write the equation of the trend line (Line of Best Fit).
c.
Estimate the enrollment in 6 years . ____________
Describe each translation of y = |x| as vertical, horizontal, or combined.
Then graph each translation.
20. y | x | 4
21. y | x  1 | 5
Translation ____________________________
Translation ____________________________
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Graph each inequality.
23. y  x  7
6
5
5
4
4
3
3
2
2
1
1
1
2
3
4
5
6
1
2
3
4
5
6
24. 4 x  3 y  2
6
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Name: _______________________________________________
Date: _____________________________
Write an equation for each function.
25. ________________________
26. _________________________
27. _______________________