\( y=f(x) \) is a polynomial function passing through point P \( (0...

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\( y=f(x) \) is a polynomial function passing through point
P \( (0,1) \) and which increases in the intervals \( (1,2) \) and \( (3, \infty) \) and decreases in the intervals \( (-\infty, 1) \) and \( (2,3) \).
W
If \( f(x)=0 \) has four real roots, then the range of values of leading coefficient of polynomial is
(1) \( [4 / 9,1 / 2] \)
(2) \( [4 / 9,1] \)
(3) \( [1 / 3,1 / 2] \)
(4) none of these
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