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.

Algebra ->  Quadratic-relations-and-conic-sections -> 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.      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=-x%5E4%2B4x%5E3-2x%5E2%2Bx%2B1, from x:0 to x:1
f%28x%29=-x%5E4%2B4x%5E3-2x%5E2%2Bx%2B1, if x=0
f%280%29=-0%5E4%2B4%2A0%5E3-2%2A0%5E2%2B0%2B1=1
so, point is (x,f%280%29)=(0,0)

if x=1
f%281%29=-1%5E4%2B4%2A1%5E3-2%2A1%5E2%2B1%2B1,
f%281%29=-1%2B4-2%2B1%2B1
f%281%29=3
so, point is (x,f%281%29)=(1,3)

average rate of change, or slope is:
%28f%281%29-f%280%29%29+%2F%281-0%29+=+%283-1%29%2F1+=+2


Answer by stanbon(75887) About Me  (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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