# How do you find the domain and range of y=2/5{{x-2}}?

Sep 20, 2017

See below

#### Explanation:

I don't know why there are double braces in the expression, because they are not necessary.

$y = \frac{2}{5} x - \frac{4}{5}$

This is just a linear function, so its domain and range are all of $\mathbb{R}$

Domain$\to \left\{x \in \mathbb{R}\right\}$

Range$\to \left\{y \in \mathbb{R}\right\}$

All continuous linear functions have domain and range $\mathbb{R}$ unless the gradient is $0$ or undefined .i.e. perpendicular to the $x$ axis.