Which of the Following Is a Piecewise Defined Function For f(x)=\frac{|2

Multiple Choice

Which of the following is a piecewise defined function for $f(x) =\frac{|2 x|}{x}$ ?

A) $f(x) = \begin{cases}-2, & x<0 \\ 2, & x>0\end{cases}$
B) $f(x) = \begin{cases}-2, & x \leq 0 \\ 2, & x>0\end{cases}$
C) $f(x) =\left\{\begin{array}{cc}-2, & x<0 \\ 0, & x=0 \\ 2, & x>0\end{array}\right.$
D) $f(x) = \begin{cases}-\frac{2}{x}, & x<0 \\ \frac{2}{x}, & x>0\end{cases}$