Question

What is the average rate of change for this function for the interval x=2 to x=4?

Answer 1

12

Explanation:

The average rate of change in the closed interval [ a, b ] is

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

Here [ a, b ] = [ 2, 4 ]

f(b) = f)4) = 32 ← from table

f(a) = f(2) = 8 ← from table

Then average rate of change is

`(32-8)/(4-2)` =
`(24)/(2)` = 12