$$f$$ is defined in $$\left[ { - 5,5} \right]$$ as $$f\left( x \right) = x$$ if $$x$$ is rational $$\,\,\,\,\,\,\,\,\,\,\,\,\,$$ $$ = - x$$ if $$x$$ is irrational. Then
JEE · Math · previous-year question
- A.$$f(x)$$ is continuous at every x, except $$x = 0$$
- B.$$f(x)$$ is discontinuous at every $$x,$$ except $$x = 0$$
- C.$$f(x)$$ is continuous everywhere
- D.$$f(x)$$ is discontinuous everywhere
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