The following statements are given for \( f(x)=x^{4}-4 x-1 \) \( \m...

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The following statements are given for \( f(x)=x^{4}-4 x-1 \)
\( \mathrm{P} \)
(I) \( f(x) \) has exactly one positive real root
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(II) \( f(x) \) has exactly one negative real root
(III) \( f(x) \) has exactly two real roots
The correct statement(s) is (are)
(1) (I) \( \quad \) (2) (I) and (II)
(3) (I), (II) and (III) (4) (III)
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