Question

Use the image to answer the question.

a coordinate plane for f of x versus x.
It starts at 0, then goes up to 1, then 2, then back down to 3, then back up 4 then 5

Describe the behavior of the function by determining over which interval the function has a negative average rate of change. Consider only intervals with consecutive endpoints shown on the graph.

(1 point)
The average rate of change is negative over the interval [_,_].

Answer 1

To determine the intervals where the function has a negative average rate of change, we need to look for segments where the function decreases.

Given the described behavior of the function:
1. It starts at 0, goes up to 1 (increasing).
2. Then it goes up to 2 (increasing).
3. It then goes down to 3 (decreasing).
4. Next, it goes back up to 4 (increasing).
5. Finally, it goes up to 5 (increasing).

The only interval where the function decreases (and thus has a negative average rate of change) is when it goes from 2 to 3.

Thus, the interval with a negative average rate of change is:
**[2, 3]**.