1. The problem asks to determine the intervals where the function $f(x)$ is increasing given the graph of its derivative $f'(x)$. 2. Recall that a function $f(x)$ is increasing where its derivative $f'(x)$ is positive. 3. From the graph description, $f'(x)$ is positive on the intervals $(-2, -1.3)$, $(-0.5, 0.5)$, and $(2.8, 3)$. 4. Therefore, $f(x)$ is increasing on these intervals. 5. Final answer: $f(x)$ is increasing on $$(-2, -1.3) \cup (-0.5, 0.5) \cup (2.8, 3).$$