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Let f(x)=max(sqrt(4-x^2) , sqrt(1+x^2)) ...

Let `f(x)=max(sqrt(4-x^2) , sqrt(1+x^2))` if `-2<=x<=0` and `f(x)=min(sqrt(4-x^2) , sqrt(1+x^2))` if `0 < x<=2` then `f(x): (A)` is continuous at all points `(B)` is not continuous at more than one point `(C)` is not differentiable only at one point `(D)` is not differentiable at more than one point.

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