The function $f(x) = max \{(1-x),(1+x),2\} x \in (- \infty , \infty)$ , is

Question

$\begin{array}{1 1} continous \;at\;all\;points \\ differentiable\;at\;all\;points \\differentiable\;at\;all\;points \;expext\;at \;x=1\;and \;x=-1 \\ continous\;at\;all\;points\;expect\;at\;x=1\;and\;x=-1\;where \;it \;is \;discontinous \end{array} $