Determine from the given graph whether the function has any absolute extreme values on (a, b). Then explain how your answer is consistent with the extreme value theorem. y = f(x) a
Determine from the given graph whether the function has any absolute extreme values on (a, b). Then explain how your answer is consistent with the extreme value theorem. y = f(x) a
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 9CR
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Question
Explain the results in terms of the extreme value theorem.
A. Since the function f is not continuous and the domain of f is a closed interval, f may or may not have any absolute extreme values on its domain.
B. Since the function f is not continuous and the domain of f is not a closed interval, f may or may not attain any absolute extreme values on its domain.
C. Since the function f is continuous and the domain of f is not a closed interval, f may or may not have any absolute extreme values on its domain.
D. Since the function f is continuous on a closed interval, f attains both an absolute maximum value and an absolute minimum value on its domain.
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