Algebra 2 Name___________________________________ ID: 1
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Assignment Date________________ Period____
Each graph represents a relation. Determine if the relation is a function. Then find the domain
and range.
1) y
2) y
8 8
6 6
4 4
2 2
-8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x
-2 -2
-4 -4
-6 -6
-8 -8
The relation is not a function. The relation is a function.
Domain: -5 £ x £ -1 Domain: -4 £ x < 4
Range: -6 £ y < 6 Range: -2 £ y < 5
3) y
4) y
8 8
6 6
4 4
2 2
-8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x
-2 -2
-4 -4
-6 -6
-8 -8
The relation is not a function. The relation is not a function.
Domain: x £ 2 Domain: x = 3
Range: y < 5 Range: y ³ -5
Worksheet by Kuta Software LLC
-1-
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5) y
6) y
8 8
6 6
4 4
2 2
-8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x
-2 -2
-4 -4
-6 -6
-8 -8
The relation is a function. The relation is not a function.
Domain: All real numbers Domain: x £ 2
Range: All real numbers Range: All real numbers
7) y
8) y
8 8
6 6
4 4
2 2
-8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x
-2 -2
-4 -4
-6 -6
-8 -8
The relation is a function. The relation is not a function.
Domain: x £ 4 Domain: x = -3
Range: y £ 3 Range: y ³ -4
9) y
10) y
8 8
6 6
4 4
2 2
-8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x
-2 -2
-4 -4
-6 -6
-8 -8
The relation is not a function. The relation is not a function.
Domain: -1 £ x < 1 Domain: x = 5
Range: -6 £ y < 6 Range: -4 < y £ 4
Worksheet by Kuta Software LLC
-2-
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Sketch the solution to each system of inequalities.
1 12) y > -x - 3
11) y £ - x - 2
2 y < -x - 2
3 y
y³ x+2 5
2 4
y 3
5
2
4
1
3
2 -5 -4 -3 -2 -1 1 2 3 4 5 x
-1
1
-2
-5 -4 -3 -2 -1 1 2 3 4 5 x
-3
-1
-4
-2
-5
-3
-4
-5
Solve each system by graphing.
2 3
13) y = - x + 1 14) y = - x + 2
3 2
2 3
y= x-3 y=- x-4
3 2
y y
5 5
4 4
3 3
2 2
1 1
-5 -4 -3 -2 -1 1 2 3 4 5 x -5 -4 -3 -2 -1 1 2 3 4 5 x
-1 -1
-2 -2
-3 -3
-4 -4
-5 -5
(3, -1) No solution
Worksheet by Kuta Software LLC
-3-
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