Find the average rate of change of f(x) = 2x^2 + 2 over each of the following intervals.

Question

(a) From 1 to 3.

(b) From 2 to 4.

(c) From -2 to 1.

The average rate of change from 2 to 4 is.

Answer 1

Hi Steven,

To find the average rate of change, you will do the following:

average rate of change = ( f(x₂) - f(x₁) ) / (x₂ -x₁)

So for part (a):

average rate of change = ( ((2)(3^2) + 2 ) - ( (2)(1^2) + 2) ) / ( 3 - 1)

= (20 - 4)/(2)

= (16/2)

= 8

You can follow the same format for parts (b) and (c)

Let me know if you need any further precalculus help!

Kelly