Algebra and Trigonometry 10th Edition

$\dfrac{3}{2}$
Average rate of change is: $\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$ So, $\dfrac{f(x_2)-f(x_1)}{x_2-x_1}= \dfrac{[-(1.5)^2+(4)(1.5)-3]-[-(1)^2+(4)(1)-3]}{1.5-1}$ or, $=\dfrac{\dfrac{3}{4}-0}{1.5-1}$ or, $=\dfrac{3}{2}$