Question

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)}?

Answer 1

See explanation.

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`)