Answer
$f^{-1}=\{ (1,0), (7,-2), (-6,3), (4,4) \}$
Work Step by Step
Interchanging the $x$ and $y$ coordinates of the set $\{(0,1), (-2,7), (3,-6), (4,4)\}$, then the inverse is
\begin{array}{l}
f^{-1}=\{ (1,0), (7,-2), (-6,3), (4,4) \}
.\end{array}