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Let f: RtoR be defined as where a, ...

Let f: `RtoR` be defined as

where a, b, c `inR` and [t] denotes greatest integer less than or equal to t. Then which of the following statements. is true ?

A

There exist a, b, c `inR` such that f is continuous on R

B

If f is discontinuous at exactly one point, then `a+b+c=1`

C

If f is discontinuous at exactly one point then `a + b + c ne 1 `

D

f is discontinous at atleast two points, for any values of a, b and c

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