Consider the function\[f(x)=\left\{ \begin{matrix} {{x}^{2}}, & x>2 \\ 3x-2, & x\le 2 \\ \end{matrix} \right.\]. Which one of the following statements is correct in respect of the above function?

f(x) is neither continuous nor derivable at x = 2.

f(x) is derivable but not continuous at x = 2.

f(x) is continuous but not derivable at x = 2.

f(x) is continuous as well as derivable at x = 2.

Consider the function\[f(x)=\left\{ \begin{matrix} {{x}^{2}}, & x>2 \

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

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Consider the function\[f(x)=\left\{ \begin{matrix} {{x}^{2}}, & x>2 \\ 3x-2, & x\le 2 \\ \end{matrix} \right.\]. Which one of the following statements is correct in respect of the above function?

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