Question

The range of $f\left(x\right)=|x|+5$ is

• A. $[6,\infty )$
• B. $[5,\infty )$
• C. $(6,\infty )$
• D. $(5,\infty )$

Answer 1

The correct option is B $[5,\infty )$

Clearly, domain of $f$ is $R$.
We know that $|x|\ge 0\forall x\in R$
$\Rightarrow |x|+5\ge 5$
Hence, Range of $f$ is $[5,\infty )$