How do you find the domain and the range of the relation, and state whether or not the relation is a function {(–2, 4), (5, 8), (3, 6), (5, 9)}?

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Answer 1 · 2015-11-20T22:10:42

See explanation.

If the relation is given as set of pairs, then:

Domain is the set of all first elements of pairs. In this case it is:

$D={-2;3;5}$

Range is the set of all second numbers. In this case:

$R={4;6;8;9}$

To check if this relation is a function you need to check the following condition:

"For every element $x$ in the domain, there exists one and only one element $y$ in range that $f(x)=y$ "

This relation is not a function because this condition is not met. Element $x=5$ has two corresponding values ( $8$ and $9$ )