1. The problem asks us to graph the inverse function $f^{-1}$ given the graph of $f$. 2. The graph of $f$ is a line segment from approximately $(4, -4)$ to $(6, 7)$. 3. To find the inverse function $f^{-1}$, we swap the $x$ and $y$ coordinates of each point on $f$. 4. The points on $f$ are $(4, -4)$ and $(6, 7)$. 5. Swapping coordinates, the points on $f^{-1}$ are $(-4, 4)$ and $(7, 6)$. 6. Therefore, the graph of $f^{-1}$ is the line segment connecting $(-4, 4)$ to $(7, 6)$. 7. This reflects the original graph across the line $y = x$, which is the defining property of inverse functions. Final answer: The inverse function $f^{-1}$ is the line segment from $(-4, 4)$ to $(7, 6)$.