Page 53 - Math Course 1 (Book 1)

Algebraic Functions and Relations

Inverse Relation

Express the relation shown in the mapping as a set of ordered pairs.
Then write the inverse of the relation.
X Y
Inverse
3
A. Relation {(2, 3), (1, –4), (2, 5)} 1
Inverse {(3, 2), (–4, 1), (5, 2)}
-4
2
B. Relation {(3, 2), (–4, 1), (5, 2)}
Inverse {(–3, –2), (4, –1), (–5, –2)} 5

C. Relation {(3, 2), (–4, 1), (5, 2)}
Inverse {(2, 3), (1, –4), (2, 5)}

D. Relation {(3, 2), (–4, 1), (5, 2)} Answer

Inverse {( 1 ,1 ( ( 1 ,1 ( ( 1 , 1 {(
3 2 ,
4 ,
5 2

Skill Practice!

Express each relation as a table, a graph, and a mapping. Then determine the domain and range.

1. {(-1, -1), (1, 1), (2, 1), (3, 2)} 2. {(0, 4), (-4, -4), (-2, 3), (4, 0)} 3. {(3, -2), (1, 0), (-2, 4), (3, 1)}

Express the relation shown in each table, mapping, or graph as a set of ordered pairs. Then write the inverse of
the relation.

4. 5. 6.
x y x y

3 -5 9
9
- 4 3 -5
-5
7 6 4
1 -2 4 2

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