Question

If you know please help me

Answer 1

Average rate of change of the function
`=(75)/(2)`

Solution:

Given function:
`f(x)=5(2)^(x)` from x = 1 to x = 5

Substitute x = 1 and x = 5 in f(x).

`f(1)=5(2)^(1)=10`

`f(5)=5(2)^(5)=160`

Let us find the average rate of change of the function.

Average rate of change

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

Here a = 1 and b = 5.

`$=(f(5)-f(1))/(5-1)`

Substitute f(5) and f(1).

`$=(160-10)/(4)`

`$=(150)/(4)`

`$=(75)/(2)`

Average rate of change of the function
`=(75)/(2)`