Question

F(x)=x2-2x from x1=3 to x2 = 6

Answer 1

`\begin{gathered} f(x)=x^2-2x \\ x_1=3\text{ and } \\ x_2=6 \end{gathered}`
`\begin{gathered} f(x_1=3)=3^2-2*3 \\ f(3)=3 \\ \text{and,} \\ f(x_2=6)=6^2-2*6 \\ f(6)=24 \\ \text{average rate of change=}(f(x_2)-f(x_1))/(x_2-x_1) \\ A=(24-3)/(6-3) \\ A=(21)/(3) \\ A=7 \end{gathered}`