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termine from the given graph whether the function has any solute extreme values on (a, b). Then explain how your swer is consistent with the extreme value theorem. y=f(x) a C termine whether the function has any absolute extreme values on (a, b). Choose the correct answer below. A. The function has an absolute maximum value at x = a and an absolute minimum value at x = c on (a, b). B. The function has an absolute maximum value at x = a but does not have an absolute minimum value on (a, b). C. The function has an absolute minimum at x = c value but does not have an absolute maximum value on (a, b). D. The function does not have any absolute extreme values on its domain. plain the results in terms of the extreme value theorem. A. 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. 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 not continuous and the domain of f is 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.

termine from the given graph whether the function has any solute extreme values on (a, b). Then explain how your swer is consistent with the extreme value theorem. y=f(x) a C termine whether the function has any absolute extreme values on (a, b). Choose the correct answer below. A. The function has an absolute maximum value at x = a and an absolute minimum value at x = c on (a, b). B. The function has an absolute maximum value at x = a but does not have an absolute minimum value on (a, b). C. The function has an absolute minimum at x = c value but does not have an absolute maximum value on (a, b). D. The function does not have any absolute extreme values on its domain. plain the results in terms of the extreme value theorem. A. 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. 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 not continuous and the domain of f is 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.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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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 X Determine whether the function has any absolute extreme values on (a, b). Choose the correct answer below. A. The function has an absolute maximum value at x = a and an absolute minimum value at x = c on (a, b). B. The function has an absolute maximum value at x = a but does not have an absolute minimum value on (a, b). C. The function has an absolute minimum at x = c value but does not have an absolute maximum value on (a, b). D. The function does not have any absolute extreme values on its domain. Explain the results in terms of the extreme value theorem. A. 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. 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. 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. 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. 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 X Determine whether the function has any absolute extreme values on (a, b). Choose the correct answer below. A. The function has an absolute maximum value at x = a and an absolute minimum value at x = c on (a, b). B. The function has an absolute maximum value at x = a but does not have an absolute minimum value on (a, b). C. The function has an absolute minimum at x = c value but does not have an absolute maximum value on (a, b). D. The function does not have any absolute extreme values on its domain. Explain the results in terms of the extreme value theorem. A. 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. 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. 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. 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. C.
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