If function \[f(x)=\left\{ \begin{matrix} x\,\,\,\,\,, & \text{if}\,x\,\text{is rational} \\ 1-x, & \text{if}\,x\,\text{is irrational} \\ \end{matrix}, \right.\] then \[f(x)\] is continuous at ...... number of points [UPSEAT 2002]

If function \[f(x)=\left\{ \begin{matrix} x\,\,\,\,\,, & \text{if

1.	If function \[f(x)=\left\{ \begin{matrix} x\,\,\,\,\,, & \text{if}\,x\,\text{is rational} \\ 1-x, & \text{if}\,x\,\text{is irrational} \\ \end{matrix}, \right.\] then \[f(x)\] is continuous at ...... number of points [UPSEAT 2002]
A.	\[\infty \]
B.	1
C.	0
D.	None of these
Answer» D. None of these

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