To help with this, I'll analyze the function graph and its behavior to determine the intervals for when it is increasing, decreasing, and constant.

Observing the Graph:

1. The function is increasing when the slope of the graph is positive.
2. The function is decreasing when the slope is negative.
3. The function is constant when the graph is flat (horizontal).

Breakdown of the function:

1. From $x = -4$ to $x = -2$, the graph is increasing.
2. From $x = -2$ to $x = 2$, the graph is constant.
3. From $x = 2$ to $x = 4$, the graph is decreasing.

Answers:

• Increasing interval: $(-4, -2)$
• Constant interval: $(-2, 2)$
• Decreasing interval: $(2, 4)$

These intervals describe the behavior of the function based on the graph provided.

Would you like more detailed steps on understanding these intervals or have any specific questions?

Here are 5 related questions for further practice:

1. What is the significance of the endpoints in interval notation?
2. How would you describe a function that is always increasing?
3. Can a function have multiple increasing intervals? If so, give an example.
4. What is the relationship between the derivative of a function and its increasing/decreasing behavior?
5. How would you represent the intervals where the function is non-decreasing?

Tip: When analyzing graphs, always look for key points where the graph changes direction (slopes) to identify increasing, decreasing, or constant behavior.