$f(x)=x+|x|$ is continuous for

• Correct answer
  A

  $\quad x \in(-\infty, \infty)$
• B

  $x \in(-\infty, \infty)-\{0\}$
• C

  only $x>0$
• D

  no value of $x$

Solution

$$ \text { Hints: } f(x)=\left\{\begin{array}{lc} 2 x ; & x \geq 0 \\ 0 ; & x < 0 \end{array}\right. $$

Hence, the correct answer is option: 'A'.