برد تابع $f(x)=\left\{ \begin{matrix}
\sqrt{{{x}^{2}}-2x+1}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x\ge 0 \\
x-2\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x\lt 0 \\
\end{matrix} \right.$ برابر کدام گزینه است؟
$R-\left[ -2,0 \right)$
2 )
$R-\left[ -2,1 \right)$
3 )
$R-\left( -2,1 \right]$
4 )
$R-\left( -2,0 \right]$