Question

Let f (x) be defined on [0, 3] by $f(x) = \begin{cases} x,\text{if x is a rational number} \\\ 3-x\text{, if x is an irrational number} \end{cases}$ Then f(x) is continuous in the interval at:

• A. no point
• B. all points
• C. 2 points
• D. one point

Answer 1

Answer: (D)

one point

Answer 2

The correct answer is(D): one point