(Vận dụng) Cho hàm số \(f\left( x \right) = \left\{ \matrix{ {x \over {x + 1}}\,\,khi\,x \ge 0 \hfill \cr {1 \over {x - 1}}\,\,khi\,\,x < 0 \hfill \cr} \right.\). Giá trị f(0), f(2), f(–2) là:
A.\(f\left( 0 \right) = 0,f\left( 2 \right) = {2 \over 3},f\left( { - 2} \right) = 2\)
B.\(f\left( 0 \right) = 0,f\left( 2 \right) = {2 \over 3},f\left( { - 2} \right) = - {1 \over 3}\)
C.\(f\left( 0 \right) = 0,f\left( 2 \right) = 1,f\left( { - 2} \right) = - {1 \over 3}\)
D.\(f\left( 0 \right) = 0,f\left( 2 \right) = 1,f\left( { - 2} \right) = 2\)