Question

How do you find the average rate of change of `f(x) = −x^4 + 4x^3 − 2x^2 + x + 1` over the interval [0, 1]?

Answer 1

`2`

Explanation:

The average rate of change of f(x) over the interval [0 , 1] is

`• (f(b)-f(a))/(b-a)`

`"where "[a,b]=[0,1]`

`f(1)=-1+4-2+1+1=3`

`f(0)=1`

`rArr(3-1)/(1-0)=2larr" average rate of change"`