Question

A coordinate plane for f of x versus x.
▶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 you mention. Could you either upload the image or type the key points (x, f(x)) or describe where the function goes up or down?

Meanwhile, here is how to determine the interval you need:

- The average rate of change on [a,b] is (f(b) − f(a)) / (b − a).
- For this to be negative you must have f(b) < f(a) (since b − a > 0).
- So pick endpoints a < b such that the function’s value at b is lower than at a. Common choices are the obvious left and right endpoints of a decreasing section of the graph.

If you post the graph or the coordinates of a few key points (or tell me where the function rises/falls), I will give the exact interval.