MathematicsMedium175×since 2002Q2719Consider the function f : R →\to→ R defined by f(x)={\matrix(2−sin(1x))∣x∣,x≠0\hfill\cr0, x=0\hfill\crf(x) = \left\{ \matrix{ \left( {2 - \sin \left( {{1 \over x}} \right)} \right)|x|,x \ne 0 \hfill \cr 0,\,\,x = 0 \hfill \cr} \right.f(x)={\matrix(2−sin(x1))∣x∣,x=0\hfill\cr0,x=0\hfill\cr. Then f is :Anot monotonic on (−-−∞\infty∞, 0) and (0, ∞\infty∞)Bmonotonic on (0, ∞\infty∞) onlyCmonotonic on (−-−∞\infty∞, 0) onlyDmonotonic on (−-−∞\infty∞, 0) ∪\cup∪ (0, ∞\infty∞)Check answerSkip