2. If f: R→→ R satisfies f(1) = 3 and f'(x) ≥2 for all x's, how small can f(7) be?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If f: R -> R satisfies
f(1) = 3 and f'(x) ≥ 2 for all x's,
how small can f(7) be?

2. If f: R→ R satisfies
f(1) = 3 and f'(x) ≥2 for all x's,
how small can f(7) be?
Transcribed Image Text:2. If f: R→ R satisfies f(1) = 3 and f'(x) ≥2 for all x's, how small can f(7) be?
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Can this also be solved using the mean value theorem? Thanks!

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