Question

H(x) = x3 - 64x2. Determine the average rate of change of the function between x = -2 and x = 0

Answer 1

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby \begin{array}{llll} \textit{average rate}\\ \textit{ of change} \end{array} \\\\\\ H(x)=x^3-64x^2\quad \begin{cases} x_1=-2\\ x_2=0 \end{cases}\implies \cfrac{H(x_2)-H(x_1)}{x_2-x_1}$