Name ______________________________
Class __________ Date __________
Algebra II ~ 2.1-2.4 Take Home Quiz
DUE THURSDAY OCTOBER 13th
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 ______________________________
Class __________ Date __________
Graph each function.
10. y  12 x  1
12. 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
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
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 an equation of the line through the given points.
17. (0, 0) and (-2, 3)
18. (-4, 1) and (-2, -2)
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. Make a scatter plot of the data
b. Use a graphing utility to find the line of best fit for the data.
DRAW the trend line on the graph to the right (be accurate).
WRITE the equation for the trend line below.
c.
Estimate the enrollment in 6 years.
4
5
6