GATE CH 2021 | Question: 16

Question

For the function $f(x) = \begin{cases} -x, & x<0 \\ x^2, & x \geq 0 \end{cases}$ the $\text{CORRECT}$ statement(s) is/are

• A. $f(x)$ is continuous at $x=1$
• B. $f(x) $ is differentiable at $x=1$
• C. $f(x) $ is continuous at $x=0$
• D. $f(x)$  is differentiable at $x=0$