Question

What is the average of change. Please write you answer as an integer or simplifies fraction

Answer 1

Given:f(x)=-4x+3

Find: average rate of change of f(x) fom 1 to 9

Explanation:

`\begin{gathered} f(x)=-4x+3 \\ average\text{ }rate\text{ of change=}(f(x_2)-f(x_1))/(x_2-x_1) \\ f(x_2)=f(9)=-4*9+3 \\ =-36+3=-33 \\ f(x_1)=f(1)=-4*1+3 \\ =-1 \\ average\text{ }rate\text{ of change=}(-33-(-1))/(9-1) \\ =(-32)/(8) \\ =-4 \end{gathered}`