Question

The table shows the values of a function f(x).

What is the average rate of change of f(x) from -2 to 2?

Answer 1

-4

Explanation:

Answer 2

The average rate of change is
`=-4`

Explanation:

The average rate of change from x=a to x=b of f(x) is given by;

`=(f(b)-f(a))/(b-a)`

We want to find the average rate of change of the function represented in the table from x=-2 to x=2.

`=(f(2)-f(-2))/(2--2)`

From the table f(-2)=25 and f(2)=9

The average rate of change from x=-2 to x=2 is

`=(9-25)/(2--2)`

`=(-16)/(4)`

`=-4`