Answer
The graph is shown below.
Work Step by Step
For the provided graph, we have four coordinate points $\left( -4,3 \right),\left( -3,-2 \right),\left( 2,-3 \right)\text{ and }\left( 4,-5 \right)$on $f$
The provided function is $f=\left\{ \left( -4,3 \right),\left( -3,-2 \right),\left( 2,-3 \right),\left( 4,-5 \right) \right\}$.
According to the horizontal line test, if no horizontal line can be drawn such that it crosses the graph more than once, then it is a function.
${{f}^{-1}}=\left\{ \left( 3,-4 \right),\left( -2,-3 \right),\left( -3,2 \right),\left( -5,4 \right) \right\}$
Now draw the graph from the above information, which is shown below.
