A Function Is Linear for X $\le$ 2 and Also Linear for X

Multiple Choice

A function is linear for x $\le$ 2 and also linear for x $\ge$ 2.This function has the following values: f(-4) = 8; f(2) = 5; f(4) = 11.Find formula(s) (or equation(s) ) which describe this function.

A) $f(x) =\left\{\begin{array}{ll}\frac{1}{2} x+4, & x \leq 2 \\-3 x+11, & x \geq 2\end{array}\right.$
B) $f(x) =\left\{\begin{array}{cc}2 x+6, & x \leq 2 \\\frac{1}{3} x-11, & x \geq 2\end{array}\right.$
C) $f(x) =\left\{\begin{array}{cc}-2 x+9, & x \leq 2 \\3 x-1, & x \geq 2\end{array}\right.$
D) $f(x) =\left\{\begin{array}{cl}-\frac{1}{2} x+6, & x \leq 2 \\3 x-1, & x \geq 2\end{array}\right.$