From the graph shown in the image, the function changes its behavior in terms of increasing and decreasing intervals. To determine these intervals:

1. Increasing Interval: The function is increasing where the graph moves upwards as you move from left to right.

   • The function increases between $x \approx -5$ to $x \approx -3$ and again from $x \approx 1.5$ to $x \approx 4.5$.

   So, the increasing intervals (in interval notation) would be approximately: $(-5, -3) \cup (1.5, 4.5)$

2. Decreasing Interval: The function is decreasing where the graph moves downwards as you move from left to right.

   • The function decreases from $x \approx -3$ to $x \approx 1.5$ and again after $x \approx 4.5$.

   So, the decreasing intervals (in interval notation) would be approximately: $(-3, 1.5) \cup (4.5, \infty)$

These intervals are approximate based on the graph.

Let me know if you'd like further explanation or have questions. Here are some related questions to deepen understanding:

1. How does one calculate the exact turning points for increasing/decreasing behavior analytically?
2. What are critical points and how do they relate to increasing/decreasing intervals?
3. What is the difference between local maxima and minima in the context of this graph?
4. How can you determine concavity and points of inflection from a graph?
5. How do increasing/decreasing intervals relate to the derivative of the function?

Tip: Always check where the derivative of a function is positive (increasing) or negative (decreasing) to confirm the behavior of the graph.