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.