question_answer

Let \[f(x)=\,\left\{ \begin{matrix}    |x|, & \text{for}\,\,0<\,|x|\,\le 2  \\    {} & \text{for}\,x=0  \\ \end{matrix} \right.\]. Then at \[x=0,\] f has

A)  a local maximum       

B)  no local minimum

C)  a local minimum        

D)  no extremism

Correct Answer: A

Solution :

 \[{{\rho }_{S}}\] Clearly from the graph \[{{\rho }_{P}}\] has point of local maxima at \[-h=-u{{t}_{1}}+\frac{1}{2}gt_{1}^{2}\].