Question

What is the average rate of change of the function on the interval from x = 0 to x = 5?

f(x)=1/2(3)x



Enter your answer, as a decimal, in the box.

Answer 1

from 0 to 7.5

Explanation:

Just plug in (x)

f(5)=1/2(3)5

1 and 1/2*5

>>7.5<<

Answer 2

`m = 24.2`

Explanation:

The value of each extreme is presented below:

`f(0) = (1)/(2)\cdot 3^(0)`

`f(0) = 0.5`

`f(5) = (1)/(2)\cdot 3^(5)`

`f(5) = 121.5`

The average rate of change of the function is:

`m = (121.5 - 0.5)/(5-0)`

`m = 24.2`