# How do you find the domain and range and determine whether the relation is a function given :y=7x-6?

Dec 23, 2017

The relation is a function.
The domain and range are both all real numbers, or $\left(- \infty , \infty\right)$

#### Explanation:

First, this relation is a function. A function means that the input only has ONE output, or that each x-value can only have ONE y-value.

This equation $y = 7 x - 6$ is a line on the graph. All non-vertical lines are functions.

Also, since it is a line, that means that the domain and range are both all real numbers, or $\left(- \infty , \infty\right)$