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Let f(x)=[x^2-x]+abs(-x+[x]) where x in ...

Let `f(x)=[x^2-x]+abs(-x+[x])` where `x in RR` and `[t]` denotes the greatest integer less than or equal to `t`. Then, `f` is

A

continuous at x=0, but not continuous at x=1

B

continuous at x=0 and x=1

C

not continuous at x=0 and x=1

D

continuous at x=1, but not continuous at x=0

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