If \( f(x)=\frac{\sin ([x] \pi)}{x^{2}+x+1} \) where \( [x] \) deno...

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If \( f(x)=\frac{\sin ([x] \pi)}{x^{2}+x+1} \) where \( [x] \) denotes the integral part of \( x \), then
(a) \( f \) is one-one
(b) \( f \) is not one-one and non-constant
(c) \( f \) is a constant function
(d) \( f \) is zero function
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