1. The problem asks to find the values of the inverse function $f^{-1}$ at $0$ and $8$, i.e., $f^{-1}(0)$ and $f^{-1}(8)$. It also provides a point $(7,8)$ on the function $f$. 2. Recall that the inverse function $f^{-1}$ reverses the roles of $x$ and $y$. If $f(a) = b$, then $f^{-1}(b) = a$. 3. From the point $(7,8)$ on $f$, we know $f(7) = 8$. Therefore, by the inverse function property, $f^{-1}(8) = 7$. 4. To find $f^{-1}(0)$, we need to find $x$ such that $f(x) = 0$. From the graph description, the curve starts near $y=0$ when $x=0$, so $f(0) = 0$. Thus, $f^{-1}(0) = 0$. Final answers: $$f^{-1}(0) = 0$$ $$f^{-1}(8) = 7$$