hannasimmons2 hannasimmons2

25-05-2016
Mathematics

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what is the average rate of change for the function f(x)=x^4+3x^3-5x^2+2x-2 from x= -1 to x= 1

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nobillionaireNobley nobillionaireNobley

01-06-2016

Average rate of change = (f(1) - f(-1))/(1 - (-1)) = [tex] [((1)^{4} +3 (1)^{3}-5 (1)^{2}+2(1)-2)-[/tex][tex]((-1)^{4} +3 (-1)^{3}-5 (-1)^{2}+2(-1)-2)]/(1+1)=[/tex][tex][(1+3-5+2-2)-(1+3(-1)-5(1)-2-2)]/2=(-1 - (-11))/2=[/tex][tex]10/2 = 5[/tex]

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