https://file.aiquickdraw.com/mathbot/file/1725836346944fne5l6rn.jpg

The problem asks us to determine the intervals where the graph of the function \( f \) is decreasing.

From the image, we can identify the intervals where the graph of \( f \) is decreasing by observing the segments of the graph that are sloping downwards (moving from left to right).

Here are the decreasing intervals:
1. The graph decreases from approximately \( x = -3 \) to \( x = -1 \).
2. It decreases again from approximately \( x = 1 \) to \( x = 3 \).

Thus, the intervals where the graph of \( f \) is decreasing are:
\[ (-3, -1) \cup (1, 3) \]

Would you like further details on how to interpret the graph or analyze other properties? 

Here are five related questions to deepen your understanding:
1. What are the intervals where the graph of \( f \) is increasing?
2. Can you identify the local maxima and minima on this graph?
3. How can you determine the concavity of the graph?
4. What is the significance of the x-intercepts in the context of this graph

Determine all intervals on which the graph of f is decreasing.

This problem asks to determine the intervals where the function f is decreasing based on a graphical analysis. Learn how to identify decreasing segments by observing downward slopes and understand the Monotonicity Theorem for advanced calculus concepts. Suitable for Grades 10-12 students.

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