# How do you find the domain and the range of the relation, and state whether or not the relation is a function {(-3,2), (0,3), (1, 4), (1, -6), (6, 4)}?

##### 1 Answer

Feb 27, 2016

#### Answer:

the domain is:

the range is:

the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .

#### Explanation:

In the relation:

The domain:

Is the set of all the first numbers of the ordered pairs.

In other words, the domain is all of the x-values.

So in this case the domain is:

The range:

Is the set of the second numbers in each pair, or the y-values.

So in this case the range is:

A relation is a function if it has only One y-value for each x-value.

So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .