Let \( f(x)=x^{2}+a x+b \). If the maximum and the minimum values o...

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Let \( f(x)=x^{2}+a x+b \). If the maximum and the minimum values of \( f(x) \) are 3 and 2 respectively for \( 0 \leq x \leq 2 \), then the possible ordered pair of \( (a, b) \) is :
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(a) \( (-2,3) \)
(b) \( (-3 / 2,2) \)
(c) \( (-5 / 2,3) \)
(d) \( (-5 / 2,2) \)
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