Question

Find the average rate of change of f(x) = 2x ^ 2 - 8x from x = 2 to x = 5 .

Answer 1

Remember that

The average rate of change of the function f(x) is given by the formula

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

where

a=2

b=5

f(a)=f(2)=2(2)^2-8(2)=-8

f(b)=f(5)=2(5)^2-8(5)=10

substitute

`(10-(-8))/(5-2)=(18)/(3)=6`

The average rate of change is 6