# calc homework?

If f(4) = 1 and f '(x) ≥ 3 for 4 ≤ x ≤ 7, how small can f(7) possibly be?

Please explain

### 1 Answer

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- MichaelLv 72 months agoFavourite answer
The smallest f'(x) can be is 3

Therefor the smallest the slope can be is 3

f(x) from f(4) to f(7) is

f(7) = 1 + (7 - 4)(3)

f(7) = 10 <–––––

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