Question

average rate of change of f(x) from 4 to 9
f(x)x^2-7x

Answer 1

Average rate of change \(\overline{f'}\) is \[
\overline{f'} = \frac{f(x_2)-f(x_1)}{x_2-x_1}
\]

Answer 2

In this case \((x_1,x_2)=(4,9)\)

Answer 3

f(4)= (4)^2-7(4)=-12
f(9)=(9)^2-7(9)=18