Algebra 2
Review Chapter 2
Name _____________________________
Determine whether each relation is a function. Find the domain and range.
1. {(5, 0), (8, 1), (1, 3), (5, 2), (3, 8)}
2. {(10, 2), (-10, 2), (6, 4), (5, 3), (-6, 7)}
Function? __________
Function? ____________
D: __________________ R: ____________________
D: __________________ R: ____________________
3.
4. Draw a mapping diagram for the relation.
{(2, 9), (-7, 5), (4, 5), (1, -1)} Is it a function? __________
Function? ___________
D: __________________ R: ____________________
Find each constant of variation. Then find the value of y when x = -0.3.
5. y = 2 when x = 21
constant = ______
y = ______
6. y =
7. a. Draw a scatter plot of each set of data. Draw the trend line.
b. Write its equation.
c. Then predict the value of y when x is 15.
2
3
when x = 0.2
constant = ______
y = ______
14
12
10
x
y
3
5
4
7
5
9
7
10
8
10
9
11
10
13
8
6
4
2
2
4
6
8
10
12
14
Suppose f(x) = 2x – 5 and g(x) = | -3x – 1 |. Find each value.
8. f(3)
9. f(1) + g(2)
10. f(-1) – g(3)
11. The number of minutes a freight train takes to pass an intersection varies directly with the number of cars in the train. A 150-car
train passes in 3 min. How long will a 210-car train take to pass?
Find the slope of each line.
12. through (3, 5) and (1, 1)
13. 4x + 3y = 2
14. a line that is perpendicular to y = -2x – 4
Graph each function.
15. y =
2
5
-10 -8
x+3
-6
17. y = | x – 3 | + 1
16. 3x + 6y = 12
-4
10
10
10
8
8
8
6
6
6
4
4
4
2
2
2
-2
2
4
6
8
10
-10 -8
-6
-4
-2
2
4
6
8
10
-10 -8
-6
-4
-2
2
-2
-2
-2
-4
-4
-4
-6
-6
-6
-8
-8
-8
-10
-10
-10
18. y = -| x | + 4
4
6
8
10
Write in standard form an equation of the line with the given slope
through the give point.
10
8
19. slope = 4, (-2, -5)
6
20. slope =-3, (0, 0)
4
2
-10 -8
-6
-4
-2
2
4
6
8
10
-2
Write in point- slope form, then change to slope-intercept form.
21. (-1, -6) and (-2, 10)
22. (3, 0) and (-1, -2)
-4
-6
-8
-10
Describe each transformation of the parent function y = | x |.
23. y = | x | - 4
24. y = | x – 1 | - 5
25. y = | x | + 5
For Questions 26-27, graph each inequality.
26. y  x + 7
28. Write the equation for the graph
7
6
5
4
3
2
1
14
12
10
8
6
-7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
4
2
-6 -5 -4 -3 -2 -1
27. 4x + 3y < 12
1
2
3
4
5
6
-2
-4
29. Graph the following: f(x)
=x+2
=2
= -x + 2
4
3
2
1
-6 -5 -4 -3 -2 -1
1
-1
1 2 3 4 5 6 7
-2
-3
-4
-5
-6
6
x < -1
-1 < x < 1
x>1
5
4
3
2
1
-6 -5 -4 -3 -2 -1
1
-1
-2
-3
-4
-5
-6
2
3
4
5
6
2
3
4
5
6