MathematicsMedium179×since 2002Q4203Let f:[0,∞)→[0,3]f:[0,\infty ) \to [0,3]f:[0,∞)→[0,3] be a function defined by f(x) = \left\{ {\matrix{ {\max \{ \sin t:0 \le t \le x\} ,} & {0 \le x \le \pi } \cr {2 + \cos x,} & {x > \pi } \cr } } \right. Then which of the following is true?Af is continuous everywhere but not differentiable exactly at one point in (0, ∞\infty∞)Bf is differentiable everywhere in (0, ∞\infty∞)Cf is not continuous exactly at two points in (0, ∞\infty∞)Df is continuous everywhere but not differentiable exactly at two points in (0, ∞\infty∞)Check answerSkip