Question

Range of $f\left(x\right)=\left|x-2\right|$ is

• A. $\left(-\infty ,\infty \right)$
• B. $(-\infty ,2]$
• C. $\left[0,\infty \right)$
• D. $\left(-2,2\right]$

Answer 1

Answer: (C)

$\left[0,\infty \right)$

Range of $\text{f}\left(x\right)$ is $[0,\infty )$

And as $(x-2)$ range is $(-\infty ,\infty )$

So, the range of the function is $[0,\infty )$