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3. 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) х a Determine whether the function has any absolute extreme values on (a, b). Choose the correct choice below. O A. The function has an absolute minimum at x = c value but does not have an absolute maximum value 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 maximum value at x = a and an absolute minimum value at x = c on (a, b). O D. The function does not have any absolute extreme values on its domain. Explain the results in terms of the extreme value theorem. O A. 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 O B. 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. C. 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. O D. 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. - u

3. 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) х a Determine whether the function has any absolute extreme values on (a, b). Choose the correct choice below. O A. The function has an absolute minimum at x = c value but does not have an absolute maximum value 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 maximum value at x = a and an absolute minimum value at x = c on (a, b). O D. The function does not have any absolute extreme values on its domain. Explain the results in terms of the extreme value theorem. O A. 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 O B. 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. C. 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. O D. 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. - u

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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3. 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) х a Determine whether the function has any absolute extreme values on (a, b). Choose the correct choice below. O A. The function has an absolute minimum at x = c value but does not have an absolute maximum value 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 maximum value at x = a and an absolute minimum value at x = c on (a, b). O D. The function does not have any absolute extreme values on its domain. Explain the results in terms of the extreme value theorem. O A. 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 O B. 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. C. 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. O D. 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. - u
Transcribed Image Text:3. 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) х a Determine whether the function has any absolute extreme values on (a, b). Choose the correct choice below. O A. The function has an absolute minimum at x = c value but does not have an absolute maximum value 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 maximum value at x = a and an absolute minimum value at x = c on (a, b). O D. The function does not have any absolute extreme values on its domain. Explain the results in terms of the extreme value theorem. O A. 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 O B. 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. C. 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. O D. 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. - u
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