Question

State the domain and the range of each relation. Then determine whether the relation is a function.

(4,23)
(3,-2)
(-6,5)
(4,6)

Answer 1

See below.

Explanation:

The Domain = {-6, 3, 4}.

The Range = {-2, 5, 6, 23}.

The relation is NOT a function because 4 in the domain maps to 6 and 23. In a function an element in the domain must map to one element only in the range.

Answer 2

`Domain:`{
`-6,3,4`}

`Range:`{
`-2,5,6,23`}

The relation is not a function.

Explanation:

By definition, a relation is a function if each input value has only one output value.

Given the relation:

(4,23)

(3,-2)

(-6,5)

(4,6)

The domain is the set of the x-coordinates of each ordered pair (You do not need to write 4 twice):

`Domain:`{
`-6,3,4`}

The range is the set of the y-coordinates of each ordered pair :

`Range:`{
`-2,5,6,23`}

Since the input value 4 has two different output values (23 and 6), the relation is not a function.