Answer
Intercepts: $(0,-1)$; $(2,0)$;
Work Step by Step
We are given the linear function:
$$f(x)=\dfrac{1}{2}x-1.$$
The graph is a line. We determine its intercepts:
$$\begin{align*}
x=0&\Rightarrow y=\dfrac{1}{2}(0)-1=-1\\
y=0&\Rightarrow \dfrac{1}{2}x-1=0\Rightarrow x=2.
\end{align*}$$
In order to graph the line we plot the points $(0,-1)$ and $(2,0)$ and join them by a straight line: