If f"(x) <0 for x<7 and ƒ"(x)>0 for x>7, then f(x) must have a point of inflection at x = 7.

Calculus: Early Transcendentals
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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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Explain why the follow statement is true or false. (Ans: False)

a.
If ƒ"(x)<0 for x<7 and ƒ"(x)>0 for x>7, then f(x) must have a point of
inflection at x = 7.
Transcribed Image Text:a. If ƒ"(x)<0 for x<7 and ƒ"(x)>0 for x>7, then f(x) must have a point of inflection at x = 7.
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