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If f(x)={{:(x^(2),:,"when x is rational"...

If `f(x)={{:(x^(2),:,"when x is rational"),(2-x,:,"when x is irrational"):},` then

A

`f(x)` is continuous for all real x

B

`f(x)` is discontinuous for all real x

C

`f(x)` is continuous only at `x=1, -2`

D

`f(x)` is discontinuous only at `x=1, -2`

Text Solution

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The correct Answer is:
C
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