Consider the function \(\rm f(x)=\left\lbrace \begin{matrix}\rm x^2, & \rm x > 2 \\\ \rm 3x - 2, & \rm x \le 2 \end{matrix}\right.\)
Which one of the following statements is correct in respect of the above function?
1
f(x) is derivable but not continuous at x = 2
2
f(x) is continuous but not derivable at x = 2
3
f(x) is neither continuous nor derivable at x = 2
4
f(x) is continuous as well as derivable at x = 2