# Chapter 2, Functions - Section 2.4 - Average Rate of Change of a Function - 2.4 Exercises: 3

$\frac{f(5)-f(a)}{5-1}=6$

#### 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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