If f(4) = 7 and f '(x) ≥ 1 for 4 ≤ x ≤ 9, how small can f(9) possibly be?

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17-07-2018
Mathematics

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If f(4) = 7 and f '(x) ≥ 1 for 4 ≤ x ≤ 9, how small can f(9) possibly be?

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razorsharptip razorsharptip · Answer 1 · 2018-07-17T06:44:48+02:00

razorsharptip razorsharptip

17-07-2018

Well if the slope is greater than or equal to 1 over that range then the smallest f(9) will be is when the slope is 1. So if we have a slope of one, then f(9) will be 12.

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