# What is the domain and range of y = | x + 3|?

Aug 10, 2017

Domain : $x \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$
Range: $y \ge 0 \mathmr{and} \left[0 , \infty\right)$

#### Explanation:

$y = \left\mid x + 3 \right\mid$ . Domain : Input of $x$ is any real number.

Domain $x \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$

Range : Output $y \ge 0 \mathmr{and} \left[0 , \infty\right)$

graph{abs(x+3) [-10, 10, -5, 5]} [Ans]