A Function G Is Known to Be Linear on the Interval

question 40

Short Answer

A function g is known to be linear on the interval from $-\infty$ to 2 (inclusive)and also linear on the interval from 2 to $\infty$ (again inclusive).
Furthermore, g(1)= 2, g(2)= 0, g(4)= 8.Another function f satisfies f (0)= 0 and f ' = g.What is $f(3)$ ?