# Chapter 2 - P.S. Problem Solving - Page 239: 8e

$\dfrac{31}{16}$

#### Work Step by Step

Average rate of change is: $\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$ So, $\dfrac{f(x_2)-f(x_1)}{x_2-x_1}= \dfrac{[-(1.0625)^2+(4)(1.0625)-3]-[-(1)^2+(4)(1)-3]}{1.0625-1}$ or, $=\dfrac{\dfrac{31}{256}-0}{0.0625}$ or, $=\dfrac{31}{16}$

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