Name ______________________________
Class __________ Date __________
Find the domain and range of each relation, and determine whether it is a function.
1.
{(2, 1), (-4, 5), (1, 7), (2, -3), (-1, 2)} Function Y/N _____
Domain ____________
Range ____________
2.
{(1, -1), (2, -2), (3, -3), (4, -4), (5, -5)} Function Y/N _____ Domain ____________
Range ____________
3.
Draw a mapping diagram for the relation {(-3, 2), (-1, 0), (1, 2), (3 ,4)}. Is the relation a function? Explain.
Function Y/N _____
Suppose f(x) = 3x – 4 and g(x) = |x| + 3. Find each value.
4.
f 2
5.
f (1)
g (1)
Find the constant of variation for the direct variation problem. Then find the value of y when x =
6.
y = 2 when x = 6
7.
The diameter of a tree varies directly as its age. A 15-year old tree is 3.75 in. in diameter.
How old will the tree be when it is 25 in. in diameter?
Find the slope of each line.
8. 3x – 5y = 15
9. through (-2, 7) and (4, 1)
10.
perpendicular to
y  32 x  14
3
4
.
Name ______________________________
Graph each function.
10. y  12 x  1
Class __________ Date __________
12. y  | x  2 | - 3
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
13. y  - | x |  4
1
2
3
4
5
6
1
2
3
4
5
6
14. y  3 - 2x
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
Write in standard form the equation of the line with the given slope through the given point.
15. slope = 6; 12 ,2
16. slope = 14 ; 4,3
 
Write in point-slope form, then change to slope-intercept form.
17. (0, 0) and (-2, 3)
18. (-4, 1) and (-2, -2)
point-slope ______________________________
point slope __________________________________
slope-intercept _______________________
slope-intercept _____________________________
Name ______________________________
Class __________ Date __________
19. The table below displays the enrollment at Westside High during the years 1996-2001.
Year
Enrollment (in hundreds)
0
9
1
11
2
12
3
14
4
15
a.
b.
Make a scatter plot of the data, and draw a trend line.
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 | 2
21. y | x  4 |
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  2 x  3
6
5
5
4
4
3
3
2
2
1
1
1
2
3
4
5
6
1
2
3
4
5
6
24. 2 x  3 y  6
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 ______________________________
Class __________ Date __________
Write an equation for each function.
25. ________________________
-4
Simplify.
1
3
 3 109
1
1
6  8
27. _______________________
4
4
4
2
2
2
-2
Extra Credit:
26. _________________________
2
4
-4
-2
2
4
-4
2
-2
-2
-2
-2
-4
-4
-4
4