A function \[f(x)\,=\left\{ \begin{matrix} 1+x, & x\le 2 \\ 5-x, & x>2 \\ \end{matrix} \right.\,\] is [AMU 2001]

Continuous but not differentiable at \[x=2\]

A function \[f(x)\,=\left\{ \begin{matrix} 1+x, & x\le 2 \\ �

1.	A function \[f(x)\,=\left\{ \begin{matrix} 1+x, & x\le 2 \\ 5-x, & x>2 \\ \end{matrix} \right.\,\] is [AMU 2001]
A.	Not continuous at \[x=2\]
B.	Differentiable at \[x=2\]
C.	Continuous but not differentiable at \[x=2\]
D.	None of these
Answer» D. None of these

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A function \[f(x)\,=\left\{ \begin{matrix} 1+x, & x\le 2 \\ 5-x, & x>2 \\ \end{matrix} \right.\,\] is [AMU 2001]

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