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The question asks: **On which interval does the function decrease the most?**

The table shows the **average rate of change** for different intervals:

- \( 1 \leq x \leq 3 \): \(-1.2\)
- \( 3 \leq x \leq 5 \): \(-0.2\)
- \( 5 \leq x \leq 6 \): \(-2.6\)
- \( 6 \leq x \leq 10 \): \(-1.6\)

The function decreases the most where the average rate of change is the most negative. The interval with the most negative rate of change is \( 5 \leq x \leq 6 \), where the rate is \(-2.6\). This matches the answer you selected.

Let me know if you need further clarifications! 

Here are 5 follow-up questions:

1. What does the average rate of change of a function tell you about its behavior on a specific interval?
2. How would the rate of change differ for a function that is increasing vs decreasing?
3. How can you compute the average rate of change for any given interval if not provided?
4. What does it mean if the rate of change is zero over an interval?
5. How would you interpret a positive average rate of change in comparison to a negative one?

**Tip:** The average rate of change of a function over an interval is essentially the slope of the line connecting the endpoints of the interval on the function graph.

On which of the intervals does the function decrease the most?

Explore how the average rate of change helps identify intervals where functions increase or decrease most significantly. This example examines intervals on a function's graph to determine where it has the steepest descent, essential for calculus studies.

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