Answer
See graph
Work Step by Step
We are given the function:
$f(x)=\begin{cases}
-4x+5,x\lt -1\\
5x-3,x\geq -1
\end{cases}$
The function consists of two functions: the function $-4x+5$ on the interval $(-\infty,-1)$ and the function $5x-3$ on the interval $[-1,\infty)$.
Graph the two functions: