Question

Use the image to answer the question.

A coordinate plane for f of x versus x. Guess the answer with this.
▶Click for Long Desc

Describe the behavior of the function by determining over which interval the function has a negative average rate of change.

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

Answer 1

I can't see the graph from your message. Could you either attach the image or paste the "Long Description" text here?

If you want to find the answer yourself, here’s how to do it:

- The average rate of change of f on [a,b] is (f(b) − f(a)) / (b − a).
- For that quotient to be negative (assuming b > a), f(b) must be less than f(a) — i.e., the function’s value at the right endpoint is lower than at the left endpoint.
- Look at intervals on the x-axis shown in the graph where the point at the right end is lower than the point at the left end. Those are the intervals with negative average rate of change.
- If the problem expects a single interval, pick the interval endpoints shown in the graph that define the region they want (for example, [1,4] if f(4) < f(1)).

Send the graph or its long description and I’ll give the exact interval.