The function \[f(x)=\max [(1-x),\,(1+x),\,2],\] \[x\in (-\infty ,\,\in – McqOptions

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1.	The function \[f(x)=\max [(1-x),\,(1+x),\,2],\] \[x\in (-\infty ,\,\infty ),\]is [IIT 1995]
A.	Continuous at all points
B.	Differentiable at all points
C.	Differentiable at all points except at \[x=1\]and \[x=-1\]
D.	Continuous at all points except at \[x=1\]and \[x=-1\]where it is discontinuous
Answer» D. Continuous at all points except at \[x=1\]and \[x=-1\]where it is discontinuous

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