Tuesday, February 10, 2015

College Algebra, Chapter 3, 3.4, Section 3.4, Problem 14

A function f(x)=x+x4. Determine the average rate of change of the function between x=2 and x=3.


average rate of change =f(b)f(a)baModelaverage rate of change =f(3)f(1)3(1)Substitute a=1 and b=3average rate of change =3+(3)4[1+(1)4]3+1Simplifyaverage rate of change =3+814Combine like termsaverage rate of change =844Reduce to lowest termsaverage rate of change =21Answer

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