https://file.aiquickdraw.com/mathbot/file/1729311086896wuyzpiny.jpg

To determine on which interval the function is decreasing and non-linear, let's analyze the graph:

1. **Decreasing intervals**: A function is decreasing when its slope is negative (i.e., the graph goes downward as \( x \) increases).
   
2. **Non-linear intervals**: A function is non-linear when its graph is not a straight line.

### Analysis of the Graph:
- From \( x = -9 \) to \( x = -3 \), the graph appears to be decreasing in a straight line (linear).
- From \( x = -3 \) to \( x = 0 \), the graph is also decreasing but curves downward, which indicates that it is non-linear in this interval.
- From \( x = 0 \) to \( x = 3 \), the graph increases.
- From \( x = 3 \) to \( x = 9 \), the graph is increasing, and it is not relevant since we are looking for a decreasing interval.

### Conclusion:
The function is decreasing and non-linear on the interval \( -3 < x < 0 \).

Thus, the correct answer is:

\[
\boxed{-3 < x < 0}
\]

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:
1. How can we distinguish between linear and non-linear functions visually?
2. What are the key features of a function’s graph to identify intervals where it is increasing or decreasing?
3. How does the slope of a function relate to its increasing or decreasing behavior?
4. Can a function be non-linear and still have increasing or decreasing sections?
5. What is the difference between concave up and concave down behavior on a graph?

**Tip**: When analyzing graphs of functions, always focus on the slope (positive or negative) and whether the graph forms straight lines (linear) or curves (non-linear).

On which interval is the function decreasing and non-linear?

Analyze a function's graph to determine the interval where it is decreasing and non-linear. This problem focuses on graph interpretation, non-linear functions, and identifying increasing or decreasing intervals, suitable for students in Grades 9-11.

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