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If f(4) 8 and f '(x) 2 1 for 4 < x < 9, how small can f(9) possibly be?

If f(4) 8 and f '(x) 2 1 for 4 < x < 9, how small can f(9) possibly be?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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(4) 8 and f '(x) > 1 for 4 < x < 9, how small can f(9) possibly be? =
Transcribed Image Text:If f(4) 8 and f '(x) > 1 for 4 < x < 9, how small can f(9) possibly be? =
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step 1

Given:-

If f(4) = 8 and f '(x) > 1 for 4 ≤ x ≤ 9

To find:-

How small can f(9) possibly be?

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