#### Answer

See below:

#### Work Step by Step

(b)
Consider the function:
$f\left( x \right)=\left\{ \begin{align}
& -x\text{ if }x<0 \\
& x\text{ if }x\ge 0
\end{align} \right.$
This function is similar to the modulus function, symbolized by $\left| x \right|$.
As we can observe from the graph, the range of the given function is $\left[ 0,\infty \right)$ , since the graph lies above the x-axis.
Thus, the range of the function is $\left[ 0,\infty \right)$.