Consider function \( f(x)=\left\{\begin{array}{ll}-x^{2}+4 x+a, & x...

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Consider function \( f(x)=\left\{\begin{array}{ll}-x^{2}+4 x+a, & x \leq 3 \\ a x+b, & 3x4 \\ -\frac{b}{4} x+6, & x \geq 4\end{array}\right. \)
\( \mathrm{P} \)
W
[For questions 6 to 8 consider \( f(x) \) as a continuous function].
If \( x=3 \) is a point of minima and \( x=4 \) is a point of maxima, then which of the following is true?
(1) \( a0, b0 \)
(2) \( a0, b0 \)
(3) \( a0, b0 \)
(4) Not possible
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