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)b−aModelaverage 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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