1. The problem asks: For what values of $x$ is $f(x) = -1$? 2. From the graph description, we look for points where the function's value is $-1$. 3. The function dips below the x-axis reaching approximately $-2$ near $x = -1$, and then rises back up. 4. We estimate the $x$ values where the function crosses $y = -1$ by observing the graph's behavior between $x = -2$ and $x = 0$. 5. The function crosses $y = -1$ twice: once while descending and once while ascending. 6. By estimation, these points are approximately at $x = -1.7$ and $x = -0.3$. 7. Therefore, the values of $x$ such that $f(x) = -1$ are approximately $-1.7, -0.3$. Final answer: $$x = -1.7, -0.3$$