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Let $⨍$ be a function which is continuous and differentiable for all real x. If $⨍ (2)=-4$ and $f^{'} (x) \geq 6$ for all $x \in [2, 4],$ then

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$⨍(4)<8$

$⨍ (4)≥8$

$⨍ (4)>12$

$⨍ (4)>8$

answer is B.

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Detailed Solution

$f^{1} (x) = \frac{f (4) - f (2)}{4 - 2} \geq 6 f (4) + 4 \geq 12 f (4) \geq 8$

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