If function f(x) = * 20 c x , , , , ,, & if ,x , , ,is , , ration… - Vidyadip

MCQ

If function $f(x) = \left\{ {\begin{array}{*{20}{c}}{x\,\,\,\,\,,}&{{\rm{if}}\,x\,{\rm{\,\,is\,\, rational\,\,}}}\\{1 - x,}&{{\rm{if}}\,x\,{\rm{\,is\,\, irrational\,}}}\end{array},} \right.$ then $f(x)$ is continuous at ...... number of points

A
$\infty $
B
$1$
✓
$0$
D
None of these

✓

Answer

Correct option: C.

$0$

c
(c) At no point, function is continuous.

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