Answer
See below:
Work Step by Step
(b)
Consider the given function:
$f\left( x \right)=\left\{ \begin{align}
& \frac{x}{2}\text{ if }x\le 0 \\
& \text{3 if }x>0
\end{align} \right.$
This graph constitutes of two straight line functions one of them being parallel to the x-axis.
As can be seen from the graph, the range of the function is $\left( -\infty ,0 \right]\cup \left\{ 3 \right\}$.
Thus, the range of the function is $\left( -\infty ,0 \right]\cup \left\{ 3 \right\}$.
