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Let f:D to R where D=[0,1] cup [2, 4] be...

Let `f:D to R` where `D=[0,1] cup [2, 4]` be defined by
`f(x)={(x",","if "x in [0","1]),(4-x",","if "x in[2","4]):}`. Then,

A

Rolle's theorem is applicable to f in D.

B

Rolle's theorem is not applicable to f in D.

C

there exists `xi in D` for which `f'(xi)=0` but Rolle's theorem is not applicable.

D

f is not continuous in D.

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2021-MULTIPLE CHOICE QUESTION
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