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 reflection of modulus function about the x axis, symbolized by $\left| x \right|$.
As can be seen from the graph, the range of the function is $\left( -\infty ,0 \right]$ , since the graph lies below the x-axis.
Thus, the range of the function is $\left( -\infty ,0 \right]$.
