SOLUTION: Calculate average rate of change for the function f(x)=-x^4+4x^3-2x^2+x+1, from x:0 to x:1.

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Question 977422: Calculate average rate of change for the function f(x)=-x^4+4x^3-2x^2+x+1, from x:0 to x:1.
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

, from : to :
, if

so, point is (,)=(,)

if
,


so, point is (,)=(,)

average rate of change, or slope is:



Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Calculate average rate of change for the function f(x)=-x^4+4x^3-2x^2+x+1, from x:0 to x:1.
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average rate = [f(1)-f(0)]/[1-0] = (-1+4-2+1+1)/1 = 3
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Cheers,
Stan H.
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