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The function graphed above is:

Increasing on the interval(s) _________
  

Decreasing on the interval(s) ___________


From the graph, we can observe the behavior of the function based on where the slope is positive (increasing) and where it is negative (decreasing).

### Increasing Intervals:
The function is increasing where the slope of the graph is positive (upward). This occurs between:
1. \( (-\infty, -2) \)
2. \( (0, 2) \)

### Decreasing Intervals:
The function is decreasing where the slope of the graph is negative (downward). This occurs between:
1. \( (-2, 0) \)
2. \( (2, \infty) \)

To summarize:
- **Increasing on**: \( (-\infty, -2) \cup (0, 2) \)
- **Decreasing on**: \( (-2, 0) \cup (2, \infty) \)

Would you like more details or explanations on this topic?

Here are 5 related questions:
1. How do you determine critical points of a function?
2. What are the steps to find increasing and decreasing intervals algebraically?
3. How do you calculate the first derivative to analyze function behavior?
4. What is the significance of local maxima and minima in a graph?
5. How can you classify a function's concavity from its graph?

**Tip:** A function's first derivative helps you determine where it's increasing or decreasing.

The function graphed above is: Increasing on the interval(s) _________ Decreasing on the interval(s) ___________

Explore how to determine the increasing and decreasing intervals of a function using graph analysis. This detailed explanation covers how to use the first derivative test and critical points to assess where the function rises or falls. Suitable for students in Grades 11-12.

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