Match the following: | Column I | Column II | |---|---| |

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

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 $x\leq2$ , and $f(x)=9-4x$ for $x>2$ is/has in $(0,2)$	(q) local minima
(c) $f(x)=\{2x\}$ , where $\{\cdot\}$ denotes the fractional-part function, is/has in $(0,1)$	(r) continuous
(d) $f(x)=x^2-2$ for $x<2$ , and $f(x)=[x]$ for $x\geq2$ , where $[\cdot]$ denotes the greatest-integer function, is/has in $(-1,4)$	(s) non-differentiable