Question

What is the average rate of change of this function on the interval from x = 1 to x = 3? f(x)=10(2)x Enter your answer in the box.

Answer 1

30

Explanation:

The way to figure out the average rate of change is to divide the change in f(x) and divide that by the change in x. A formula for this is
`(f(x_(1))-f(x_(2)))/(x_(1)-x_(2))`
1.) By this definition, we need to figure out our x1 and x2. We can say the x1 = 3 and x2 = 1
2.) Next, we plug it into the formula. We will get
`(f(3)-f(1))/(3-1)`.

3.) If we simplify, we will get 10(2)^3 - 10*2 divided by 2, which is equal to 10*4 - 10 = 30.