Let \( a \in R \) and let \( f: R \rightarrow R \) be given by \( f(\mathrm{x})=x^{5}-5 x+a \). ...

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Let \( a \in R \) and let \( f: R \rightarrow R \) be given by \( f(\mathrm{x})=x^{5}-5 x+a \). Then
(a) \( f(x) \) has three real roots is \( a4 \)
(b) \( f(x) \) has only real root if \( a4 \)
(c) \( f(x) \) has three real roots if \( a-4 \)
(d) \( f(x) \) has three real roots if \( -4a4 \)
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