# How do you find the domain and range of y = -2x +3?

May 22, 2017

Domain: $\left(- \infty , + \infty\right)$
Range: $\left(- \infty , + \infty\right)$

#### Explanation:

$y = - 2 x + 3$

$y$ is defined $\forall x \in \mathbb{R}$

Hence the domain of $y$ is $\left(- \infty , + \infty\right)$

$y$ has no upper or lower bounds.

Hence the range of $y$ is also $\left(- \infty , + \infty\right)$

These can be seen from the graph of $y$ below.

graph{-x+3 [-118.6, 118.6, -59.3, 59.4]}