Question

What is the average rate of change for the function
x F(x)
0 22.00
1 21.56
2 21.13

Answer 1

Over which interval? \([0,1]\)? \([0,2]\)? \([1,2]\)?

Answer 2

I think the entire thing

Answer 3

Okay, given an interval \([a,b]\), the average rate of change of a function that is defined and continuous on that interval is given by
\[\frac{f(b)-f(a)}{b-a}\]
If we're using \([0,2]\), then the average r.o.c. will be
\[\frac{F(2)-F(0)}{2-0}=\frac{21.13-22.00}{2}=-0.435\]