1. The problem asks us to find the input values $x$ for which the function $f(x)$ equals 1 based on the given graph points. 2. The points given are $(-7,1)$, $(-6,4)$, $(-2,8.5)$, $(-1,7.75)$, $(1,4)$, and $(2,1)$. 3. We look for points where the $y$-value (which is $f(x)$) is 1. 4. From the points, $f(-7) = 1$ and $f(2) = 1$. 5. Therefore, the input values where $f(x) = 1$ are $x = -7$ and $x = 2$. Final answer: $x = -7$ and $x = 2$.