# How do you graph, find the zeros, intercepts, domain and range of f(x)=abs(x+4)?

Jul 26, 2018

Below

#### Explanation:

For zeroes, let $y = 0$
$0 = \left\mid x + 4 \right\mid$
$0 = x + 4$ or $- \left(x + 4\right) = 0$
Since both equations will get me the same value, I'll use $0 = x + 4$

$x + 4 = 0$
$x = - 4$

For intercepts, let $x = 0$
$f \left(0\right) = \left\mid 0 + 4 \right\mid$
$f \left(0\right) = 4$

Domain: all reals $x$
Range: $y \ge 0$

graph{abs(x+4) [-10, 10, -5, 5]}