1. The problem asks to find the x-value where the second derivative of the function $f(x)$ changes sign from negative to positive. 2. The second derivative changing from negative to positive indicates a point of inflection where the concavity changes from concave down to concave up. 3. From the graph description, the function has a local maximum near $x = -3$ and a local minimum near $x = 0$. 4. The concavity is negative (concave down) near the local maximum and positive (concave up) near the local minimum. 5. The point where the second derivative changes sign is typically between these two critical points. 6. Observing the graph, the inflection point where concavity changes from negative to positive is approximately at $x = -1$. 7. Therefore, the x-value where the second derivative changes sign from negative to positive is $\boxed{-1}$.