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

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Mathematics

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

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Анонимid Анонимid · Answer 1

Анонимid Анонимid

[tex]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{\frac{f(1)-f(0)}{1-0}=\frac{3-1}{1-0}=\frac{2}{1}=2}[/tex]

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Dbondsid Dbondsid · Answer 2

Dbondsid Dbondsid

Answer:

2

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