4 years ago

I need help...!!!! Please...!!! Is for today...!!!!

Mathematics

1 answer:

Talja [164]4 years ago

8 0

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If f(2) = 13 and f '(x) ≥ 2 for 2 ≤ x ≤ 7, how small can f(7) possibly be?

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Step-by-step explanation:

We are given that

f(2)=13

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We have to find the possible small value of f(7).

We know that

$f'(x)=\frac{f(b)-f(a)}{b-a}$

Using the formula

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We have

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$\frac{f(7)-13}{5}\geq 2$

$f(7)-13\geq 2\times 5$

$f(7)-13\geq 10$

$f(7)\geq 10+13$

$f(7)\geq 23$

The small value of f(7) can be 23.

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