Functions Question 383

Question: If function $ f(x)= \begin{cases} x,, & if,x,\text{is rational} \\ 1-x, & if,x,\text{is irrational} \\ \end{cases} , . $ then $ f(x) $ is continuous at …… number of points

[UPSEAT 2002]

Options:

A) $ \infty $

B) 1

C) 0

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

At no point, function is continuous.