[tex]\begin{gathered} f(x)=x^2-2x \\ x_1=3\text{ and } \\ x_2=6 \end{gathered}[/tex][tex]\begin{gathered} f(x_1=3)=3^2-2\times3 \\ f(3)=3 \\ \text{and,} \\ f(x_2=6)=6^2-2\times6 \\ f(6)=24 \\ \text{average rate of change=}\frac{f(x_2)-f(x_1)}{x_2-x_1} \\ A=\frac{24-3}{6-3} \\ A=\frac{21}{3} \\ A=7 \end{gathered}[/tex]
