Question

Click here What is the average rate of change for this exponential function for the interval from x=2 to x = 4? 15 10 -5 5 10 O A. -6 > O B. 12 O c. 6 O D.-12

Answer 1

c. 6

Explanation:

Given

See attachment for graph

Required

Average rate of change

This is calculated as:

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

Where

`(a,b) = (2,4)`

So, we have:

`Rate = (f(4) - f(2))/(4 - 2)`

`Rate = (f(4) - f(2))/(2)`

Using the attached graph, we have:

`f(2) = 4`

`f(4) = 16`

So, we have:

`Rate = (16- 4)/(2)`

`Rate = (12)/(2)`

`Rate = 6`