# How do you find the domain and range of f(x) = |x - 2|?

Jul 27, 2018

Below

#### Explanation:

$f \left(x\right) = \left\mid x - 2 \right\mid$ is basically the $y = \left\mid x \right\mid$ but shifted to the right by 2 units

graph{absx [-10, 10, -5, 5]}
Above is the $y = \left\mid x \right\mid$

graph{abs(x-2) [-10, 10, -5, 5]}
Above is the $f \left(x\right) = \left\mid x - 2 \right\mid$