Assertion (A): A function \( f: \mathrm{R} \rightarrow \mathrm{R} \) be defined by \( f(x)=x-[x]...

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Assertion (A): A function \( f: \mathrm{R} \rightarrow \mathrm{R} \) be defined
by \( f(x)=x-[x] \) (where \( [x] \) is greatest integer \( \leq x \) ) for all \( x \in \mathrm{R} . f \) is not invertible.
Reason (R): \( f(x) \) is periodic function.
(A) Both A and R are true and R is the correct explanation of A.br(B) Both A and R are true, but R is not the correct explanation of A.
(C) A is true, but R is false.
(D) A is false, but R is true.
(E) Both A and R are false.
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