# Chapter 3 - Test: 8

19

#### Work Step by Step

We find the average rate of change of $f(x)$ from 3 to 4: $\displaystyle \frac{\Delta y}{\Delta x}=\frac{f(4)-f(3)}{4-3}$ $\displaystyle =\frac{[3(4)^{2}-2(4)+4]-[3(3)^{2}-2(3)+4]}{4-3}$ $\displaystyle =\frac{44-25}{4-3}$ $\displaystyle =\frac{19}{1}$ $=19$

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