Question

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

• A. $\infty$
• B. 1
• C. 0
• D. None of these

Answer 1

Answer: (C)

0

Answer 2

At no point, function is continuous.