MathematicsMedium210×since 2002Q3412Let f:[0,∞)→[0,∞)f:[0,\infty ) \to [0,\infty )f:[0,∞)→[0,∞) be defined as f(x)=∫0x[y]dyf(x) = \int_0^x {[y]dy}f(x)=∫0x[y]dy where [x] is the greatest integer less than or equal to x. Which of the following is true?Af is continuous at every point in [0,∞)[0,\infty )[0,∞) and differentiable except at the integer points.Bf is both continuous and differentiable except at the integer points in [0,∞)[0,\infty )[0,∞).Cf is continuous everywhere except at the integer points in [0,∞)[0,\infty )[0,∞).Df is differentiable at every point in [0,∞)[0,\infty )[0,∞).Check answerSkip