question_answer

The function\[f\,(x)=\left[ \begin{matrix}    [x]+\sqrt{x-[x]} & \text{for} & x\ge 0  \\    \sin x & \text{for} & x<0  \\ \end{matrix} \right.\]is:

A) cont. only for all non-negative integers

B) cont. only for all positive integers

C) discount only for all negative integers

D) cont. for all real numbers.