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
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter10: Radical Functions And Equations
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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.

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
C
Transcribed Image Text: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 C
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