کدام گزینه نمایش چندضابطه‌ای تابع $f\left( x \right)=\left| ۲x-۱ \right|$ می‌باشد؟

$f\left( x \right)=\left\{ \begin{matrix}   ۲x-۱\,\,\,\,\,\,\,\,\,\,\,\,\,x\ge \frac{۱}{۲}  \\   -۲x+۱\,\,\,\,\,\,\,\,\,x\lt \frac{۱}{۲}  \\\end{matrix} \right.$

$f\left( x \right)=\left\{ \begin{matrix}   ۲x+۱\,\,\,\,\,\,\,\,\,\,\,\,\,x\ge \frac{۱}{۲}  \\   -۲x+۱\,\,\,\,\,\,\,\,\,x\lt \frac{۱}{۲}  \\\end{matrix} \right.$

$f\left( x \right)=\left\{ \begin{matrix}   ۲x-۱\,\,\,\,\,\,\,\,\,\,\,\,\,x\gt \frac{۱}{۲}  \\   ۲x-۱\,\,\,\,\,\,\,\,\,x\lt \frac{۱}{۲}  \\\end{matrix} \right.$

$f\left( x \right)=\left\{ \begin{matrix}   ۲x-۱\,\,\,\,\,\,\,\,\,\,\,\,\,x\ge \frac{۱}{۲}  \\   ۲x+۱\,\,\,\,\,\,\,\,\,x\lt \frac{۱}{۲}  \\\end{matrix} \right.$