MathematicsHard179×since 2002Q4195The function f(x) = \left\{ {\matrix{ {{\pi \over 4} + {{\tan }^{ - 1}}x,} & {\left| x \right| \le 1} \cr {{1 \over 2}\left( {\left| x \right| - 1} \right),} & {\left| x \right| > 1} \cr } } \right. is :Acontinuous on R–{–1} and differentiable on R–{–1, 1}Bboth continuous and differentiable on R–{1}Cboth continuous and differentiable on R–{–1}Dcontinuous on R–{1} and differentiable on R–{–1, 1}Check answerSkip