Question

Consider the following table of the exponential function, p(x) = 2(3)^x

What is the average rate of change over the interval [AC]?​

Answer 1

The average rate of change over the interval AC is 8

Explanation:

To find the average rate of change, we divide the change in the output value by the change in the input value

The average rate of change over the interval AC is equal to

`(f(c)-f(a))/(c-a)`

In this problem we have

`f(c)=f(2)=18`

`f(a)=f(0)=2`

`c=2`

`a=0`

Substitute

`(18-2)/(2-0)=8`