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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1
Discrete Relations
Name___________________________________
Date________________ Period____
-1-
Each set of ordered pairs represents a relation. Represent the relation as a table.
1) {(-7, 1), (-3, 0), (-2, -1), (4, 7), (6, 4)} 2) {(-1, -2), (0, -3), (0, 2), (6, -2), (7, -7)}
Each set of ordered pairs represents a relation. Represent the relation as a graph.
3) {(-3, -6), (-1, 6), (0, 4), (5, 3), (7, 1)}
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
4) {(-2, 7), (0, 1), (3, -7), (7, -2), (7, 0)}
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
Each set of ordered pairs represents a relation. Represent the relation as a mapping diagram.
5) {(-6, -7), (-6, 3), (0, -7), (3, -4), (5, 6)} 6) {(-6, 7), (-5, 6), (3, 5), (3, -4), (6, 4)}
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Worksheet by Kuta Software LLC
-2-
Each graph represents a relation. Represent the relation as a table, a set of ordered pairs, and a
mapping diagram. Then determine the domain/range and if the relation is a function.
7)
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
8)
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1
Discrete Relations
Name___________________________________
Date________________ Period____
-1-
Each set of ordered pairs represents a relation. Represent the relation as a table.
1) {(-7, 1), (-3, 0), (-2, -1), (4, 7), (6, 4)}
x y
-7 1
-3 0
-2 -1
4 7
6 4
2) {(-1, -2), (0, -3), (0, 2), (6, -2), (7, -7)}
x y
-1 -2
0 -3
0 2
6 -2
7 -7
Each set of ordered pairs represents a relation. Represent the relation as a graph.
3) {(-3, -6), (-1, 6), (0, 4), (5, 3), (7, 1)}
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
4) {(-2, 7), (0, 1), (3, -7), (7, -2), (7, 0)}
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
Each set of ordered pairs represents a relation. Represent the relation as a mapping diagram.
5) {(-6, -7), (-6, 3), (0, -7), (3, -4), (5, 6)}
Domain
-6
0
3
5
Range
-7
-4
3
6
6) {(-6, 7), (-5, 6), (3, 5), (3, -4), (6, 4)}
Domain
-6
-5
3
6
Range
-4
4
5
6
7
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Worksheet by Kuta Software LLC
-2-
Each graph represents a relation. Represent the relation as a table, a set of ordered pairs, and a
mapping diagram. Then determine the domain/range and if the relation is a function.
7)
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
x -7 -1 1 6 6 7
y 1 -3 7 1 -7 2
Domain
-7
-1
1
6
7
Range
-7
-3
1
2
7
{(-7, 1), (-1, -3), (1, 7), (6, 1), (6, -7), (7, 2)}
Domain:
{
-7, -1, 1, 6, 7
}
Range:
{
-7, -3, 1, 2, 7
}
The relation is not a function.
8)
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
x -7 -6 -3 -1 2 5
y 6 5 -2 0 7 1
Domain
-7
-6
-3
-1
2
5
Range
-2
0
1
5
6
7
{(-7, 6), (-6, 5), (-3, -2), (-1, 0), (2, 7), (5, 1)}
Domain:
{
-7, -6, -3, -1, 2, 5
}
Range:
{
-2, 0, 1, 5, 6, 7
}
The relation is a function.
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