To determine the intervals where the function is increasing or decreasing, we analyze the graph by observing the behavior of the function as we move from left to right:

Increasing Intervals:

The function is increasing where the graph moves upwards as we go from left to right.

• From approximately $x = -4$ to $x = -2$
• From approximately $x = 1$ to $x = 3$

Decreasing Intervals:

The function is decreasing where the graph moves downwards as we go from left to right.

• From approximately $x = -5$ to $x = -4$
• From approximately $x = -2$ to $x = 1$
• From approximately $x = 3$ to $x = 5$

Summary:

• Increasing on the interval(s): $(-4, -2) \cup (1, 3)$
• Decreasing on the interval(s): $(-\infty, -4) \cup (-2, 1) \cup (3, \infty)$

Would you like more details on this, or do you have any questions?

Here are five related questions for further exploration:

1. What is the maximum point of the function on the interval $[-5, 5]$?
2. How do you find the critical points of a function from its graph?
3. What does the derivative of the function tell you about its increasing or decreasing behavior?
4. Can you determine the concavity of the function based on the graph?
5. How does the behavior of the function at infinity affect its overall graph?

Tip: When analyzing a function's graph, always pay close attention to the turning points—where the graph changes direction—as they are key to identifying intervals of increase and decrease.