How do you find the average rate of change of $f (x) = x^{2} + x$ $f(x)=x^2 + x$ over [1,3]?

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Answer 1 · 2015-10-15T03:06:10

5

$f (1) = 1^{2} + 1 = 2$ $f(1)= 1^2 +1 =2$

$f (3) = 3^{2} + 3 = 12$ $f(3)= 3^2 +3=12$

Average rate of change= $\frac{f (3) - f (1)}{3 - 1} = \frac{10}{2} = 5$ $(f(3)-f(1))/ (3-1) = 10/2= 5$

How do you find the average rate of change of f(x)=x^2 + xf(x)=x2+xf(x)=x^2 + x over [1,3]?