question_answer

If \[f\,\,(x)=\left\{ \begin{matrix}    -{{x}^{2}},when\,x\underline{<}0  \\    5x-4,when\,0<x\underline{<}1  \\    4{{x}^{2}}-3x,when\,1<x<2  \\    3x+4,when\,x\underline{>}2  \\ \end{matrix} \right.\,\,,\text{then}\]

A)  f (x) is continuous at x = 0

B)  f (x) is continuous at x = 2

C)  f (x) is discontinuous at x = 1

D)  f (x) is discontinuous at x = 2

E)  None of these