Question

Calculate the average rate of change for the function f(x) = −x4 + 4x3 − 2x2 + x + 1, from x = 0 to x = 1.

Answer 1

2

Explanation:

Answer 2

`f(x)=-x^4+4x^3-2x^2+x+1\\\\f(0)=-0^4+4(0)^3-2(0^2)+0+1=1\\f(1)=-1^4+4(1^3)-2(1^2)+1+1=-1+4-2+1+1=3\\\\\boxed{(f(1)-f(0))/(1-0)=(3-1)/(1-0)=(2)/(1)=2}`