Consider the function : \(f\left( x \right) = \left[ x \right] + \left| {1 - x} \right|,\, - 1 \le x \le 3\) where \([x]\) is the greatest integer function Statement \(1\) :\(f\) is not continuous at \(x = 0, 1, 2\) and \(3\) Statement \(2\) :\(f\left( x \right) = \left( \begin{array}{l}
 - x,\,\,\,\,\,\,\,\,\, - 1 \le x < 0\\
1 - x,\,\,\,\,\,\,\,0 \le x < 1\\
1 + x,\,\,\,\,\,\,\,1 \le x < 2\,\\
2 + x,\,\,\,\,\,\,2 \le x \le 3
\end{array} \right.\)

1. A Statement \(1\) is true ; Statement \(2\) is false,
2. B Statement \(1\) is true; Statement \(2\) is true;Statement \(2\) is not correct explanation for Statement \(1\)
3. C Statement \(1\) is true; Statement \(2\) is true;Statement It is a correct explanation for Statement \(1\).
4. D Statement \(1\) is false; Statement \(2\) is true