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 1. Ay 10- y f(x) b a C1 С2 Determine whether the function has any absolute extreme values on [a, b]. Choose the correct choice below. O A. The function has an absolute maximum value at x = b and an absolute minimum value at x c2 on [a, b]. O B. The function has an absolute maximum value at x = c1 but does not have an absolute minimum value on [a, b]. O C. The function has an absolute minimum value x = c2 but does not have an absolute maximum value on [a, b]. O D. The function does not have any absolute extreme values on [a, b]. Explain the results in terms of the extreme value theorem. O A. 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. 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 not continuous and the domain of f is a closed interval, f may or may not have any absolute extreme values on its domain. O D. 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.
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 1. Ay 10- y f(x) b a C1 С2 Determine whether the function has any absolute extreme values on [a, b]. Choose the correct choice below. O A. The function has an absolute maximum value at x = b and an absolute minimum value at x c2 on [a, b]. O B. The function has an absolute maximum value at x = c1 but does not have an absolute minimum value on [a, b]. O C. The function has an absolute minimum value x = c2 but does not have an absolute maximum value on [a, b]. O D. The function does not have any absolute extreme values on [a, b]. Explain the results in terms of the extreme value theorem. O A. 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. 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 not continuous and the domain of f is a closed interval, f may or may not have any absolute extreme values on its domain. O D. 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.
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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![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
1.
Ay
10-
y f(x)
b
a
C1
С2
Determine whether the function has any absolute extreme values on [a, b]. Choose the correct choice below.
O A. The function has an absolute maximum value at x = b and an absolute minimum value at x c2 on [a, b].
O B. The function has an absolute maximum value at x = c1 but does not have an absolute minimum value on [a, b].
O C. The function has an absolute minimum value x = c2 but does not have an absolute maximum value on [a, b].
O D. The function does not have any absolute extreme values on [a, b].
Explain the results in terms of the extreme value theorem.
O A. 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.
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 not continuous and the domain of f is a closed interval, f may or may not have any absolute extreme values on its domain.
O D. 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01ba3989-bb78-4424-8a98-49154ce55861%2F475d5676-6a6d-4490-83b7-00c98c645711%2Ft80tvq.png&w=3840&q=75)
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
1.
Ay
10-
y f(x)
b
a
C1
С2
Determine whether the function has any absolute extreme values on [a, b]. Choose the correct choice below.
O A. The function has an absolute maximum value at x = b and an absolute minimum value at x c2 on [a, b].
O B. The function has an absolute maximum value at x = c1 but does not have an absolute minimum value on [a, b].
O C. The function has an absolute minimum value x = c2 but does not have an absolute maximum value on [a, b].
O D. The function does not have any absolute extreme values on [a, b].
Explain the results in terms of the extreme value theorem.
O A. 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.
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 not continuous and the domain of f is a closed interval, f may or may not have any absolute extreme values on its domain.
O D. 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.
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