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To determine the interval(s) where the function is decreasing from the graph, we need to observe where the graph is sloping downwards as we move from left to right.

From the graph, we can identify the following:

- The function is decreasing from \( x = -\infty \) to \( x \approx -1 \), as the graph slopes downward in this interval.
- The function decreases again between \( x \approx 1.5 \) and \( x \approx 3.5 \).

Therefore, the intervals where the function is decreasing are:

\[
(-\infty, -1] \cup [1.5, 3.5]
\]

These intervals are given in interval notation.

Would you like any more details or clarifications?

Here are five related questions to deepen understanding:

1. How would you determine increasing intervals for this function?
2. How can critical points help in identifying increasing or decreasing behavior?
3. What role does the derivative of a function play in finding intervals of increase or decrease?
4. What are the maximum and minimum points on the graph, and how are they connected to increasing/decreasing behavior?
5. How would concavity relate to the behavior of the function in different intervals?

**Tip:** When analyzing functions graphically, focus on the slopes to determine whether the function is increasing or decreasing.

Determine the interval(s) for which the function shown below is decreasing. Write your response in interval notation using the symbol U when necessary.

Learn how to determine the intervals where a function is decreasing by analyzing the graph. This problem covers concepts of functions, interval notation, and decreasing intervals, using graphical analysis. Suitable for students in Grades 10-12.

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