Question

Let $f\left(x\right)=x^2+ax+b.$ If the maximum and the minimum values of $f\left(x\right)$ are $3$ and $2$ respectively for $0\le x\le 2$, then the possible ordered pair(s) of $(a,b)$ is/are-

• A. $(-2,3)$
• B. $\left(-\frac{3}{2},2\right)$
• C. $\left(-\frac{5}{2},3\right)$
• D. $\left(-\frac{5}{2},2\right)$

Answer 1

Answer: (A), (C)

The correct options are
A $(-2,3)$
C $\left(-\frac{5}{2},3\right)$