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Number of points on [0,2] where f(x)=...

Number of points on `[0,2]` where
`f(x)={(x{x}+1,(0lexlt1),(2-{x},1lexle2):}` fails to be continuous or derivable is:
(where {.} denotes fractional part function)

A

`0`

B

`1`

C

`2`

D

`6`

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