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If f' changes signs from negative to positive around a critical number c, then what happens? Of has neither a local max nor local min at c. O Then f has a point of inflection at c O Then f goes from decreasing to increasing and therefore f has a relative minimum at c. O Then f goes from increasing to decreasing and therefore has a relative max at c.

If f' changes signs from negative to positive around a critical number c, then what happens? Of has neither a local max nor local min at c. O Then f has a point of inflection at c O Then f goes from decreasing to increasing and therefore f has a relative minimum at c. O Then f goes from increasing to decreasing and therefore has a relative max at c.

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' changes signs from negative to positive around a critical number c, then what happens? Of has neither a local max nor local min at c. O Then f has a point of inflection at c O Then f goes from decreasing to increasing and therefore f has a relative minimum at c. Then f goes from increasing to decreasing and therefore has a relative max at c.
Transcribed Image Text:If f' changes signs from negative to positive around a critical number c, then what happens? Of has neither a local max nor local min at c. O Then f has a point of inflection at c O Then f goes from decreasing to increasing and therefore f has a relative minimum at c. Then f goes from increasing to decreasing and therefore has a relative max at c.
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