1. **Problem Statement:** Given the graph of the derivative $f'(x)$, determine the intervals where the original function $f(x)$ is increasing. 2. **Key Concept:** A function $f(x)$ is increasing where its derivative $f'(x)$ is positive (i.e., above the x-axis). 3. **Given Data:** The derivative $f'(x)$ crosses the x-axis at approximately $x = -2, -1.3, -0.5, 0.5, 2.8, 3$. 4. **Analyze the sign of $f'(x)$ between these points:** - From $-2$ to $-1.3$, $f'(x) > 0$ (positive). - From $-0.5$ to $0.5$, $f'(x) > 0$ (positive). - From $2.8$ to $3$, $f'(x) > 0$ (positive). 5. **Conclusion:** The function $f(x)$ is increasing on the intervals $$(-2, -1.3) \cup (-0.5, 0.5) \cup (2.8, 3).$$ This matches the intervals where the derivative is positive, confirming the solution.