Q5Multiple correct4 Marks16 Mar 2025Consider the function f:R→Rf:\mathbb{R}\to\mathbb{R}f:R→R defined by f(x)={x2−∣x∣,x<0,x2+∣x∣,x≥0.f(x)=\begin{cases}x^2-|x|, & x<0,\\ x^2+|x|, & x\ge0.\end{cases}f(x)={x2−∣x∣,x2+∣x∣,x<0,x≥0. Which of the following option(s) is(are) correct?Afff is not differentiable at x=0x=0x=0.Bfff is continuous at x=0x=0x=0.Cfff is differentiable at x=1x=1x=1.Dfff is not continuous at x=1x=1x=1.
