Answer
$\dfrac{31}{16}$
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, $=\dfrac{31}{16}$
