Problem

Match the following:

Column I	Column II
(A) $f(x)=\int_{0}^{2x^2}(t-2)(t+1)^3(t-3)^2\,dt$ is/has in $(-1,1)$	(p) local maxima
(B) $f(x)=\sin\left(\frac{\pi x}{4}\right)$ for $x\le 2$ , and $f(x)=9-4x$ for $x>2$ is/has in $(0,2)$	(q) local minima
(C) $f(x)=\{2x\}$ denotes fractional part of $x$ is/has in $(0,1)$	(r) continuous
(D) $f(x)=x-2-2$ for $x<2$ , and $f(x)=[x]$ for $x\ge 2$ (where $[\cdot]$ denotes the greatest integer function), then $f(x)$ is/has in $(-1,4)$	(s) non-differentiable