# What is the range of the function f(x) = |x - 2|?

Aug 2, 2018

Range : $f \left(x\right) \ge 0 \mathmr{and} f \left(x\right) \in \left[0 , \infty\right)$

#### Explanation:

$f \left(x\right) = \left\mid x - 2 \right\mid$ , domain , $x \in \mathbb{R}$

Range: Possible output of $f \left(x\right)$ for input $x$

Output of $f \left(x\right)$ is non negative value . Therefore ,

range is f(x>=0 or f(x) in [0,oo)

graph{abs(x-2) [-10, 10, -5, 5]} [Ans]