Question

Find the average rate of change y=11x^2 + 10 where x goes from -2 to 7

Answer 1

`\begin{gathered} \text{average rate of change = }\frac{f(x_2)-f(x_1)}{x_2-x_1_{}} \\ f(x_2)=f(7)=11(49)+10=549 \\ f(x_1)=f(-2)=11(4)+10=54 \\ \text{average rate of change=}(549-54)/(7-(-2)) \\ \text{average rate of change=}(495)/(9) \\ \text{average rate of change=}55 \end{gathered}`