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

Aug 2, 2018

Domain: $\left\{- 1 , 0 , 1 , 2\right\}$

Range: $\left\{- 2 , 0 , 2 , 4\right\}$

The relation is a function.

#### Explanation:

The domain is also known as the $x$-values and the range is the $y$-values.

Since we know that a coordinate is written in the form $\left(x , y\right)$, the domain is:
$\left\{- 1 , 0 , 1 , 2\right\}$

The range is:
$\left\{- 2 , 0 , 2 , 4\right\}$

In a function, each $x$-value can only pair with one $y$-value (each input has a single output). Since all the $x$-values are different, the relation is a function.

Hope this helps!