Answer
$\frac{f(5)-f(a)}{5-1}=6$
Work Step by Step
The average rate of change of the function $f(x)=x^2$
between $x=1$ and $x=5$ is:
average rate of change = $\frac{f(5)-f(a)}{5-1}=\frac{5^2-1^2}{5-1}=\frac{25-1}{5-1}=\frac{24}{4}=6$
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