1. The table shows values of a function . What is the average rate of change of over the interval from x = 5 to x = 9? Show your work.
x
4
5
6
7
8
9
10
f(x)
-4
-2
11
14
18
I expect you are meant to find the rate of change for each unit interval of x and then average those.
The rate of change between x=4 and x=5 is \(\frac{-2-\;-4}{5-4}=\frac{2}{1}=2\)
Now you can do the others and average the answers.
