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If m and M respectively denote the minimum and maximum of $f (x) = (x − 1) 2 + 3$ for $x ∈ − 3, 1$ , then the ordered pair (m,M) is equal to

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− 3, 19

3, 19

− 19, 3

− 19, − 3

answer is B.

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Detailed Solution

$f 1 x = 2 x − 1 = 0 ⇒ x = 1 ⇒ f − 3 = 19, f 1 = 3$ $\Rightarrow ∴ m = 3 a n d M = 19$

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