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

0

1

2

7

For the answer to the question above,
The average rate of change = [f(1)-f(0)] /(1-0) 

f(x) = -x^4+4x^3-2x^2+x+1 
Then substitute it with the given value,
f(1) = -1+4-2+1+1 = 3 
Then simplify and solve.

f(0) = 1 
[f(1)-f(0)] /(1-0) = (3-1)/1 = 2I hope my answer helped you

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