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. 10- y= f(x) x T ΟΙ a c₁₂ b Determine whether the function has any absolute extreme values on [a, b]. Choose the correct answer below. OA. The function has an absolute minimum value x = b but does not have an absolute maximum value on [a, b]. OB. The function has an absolute maximum value at x=c2 and an absolute minimum value at x=b on [a, b]. OC. The function does not have any absolute extreme values on [a, b]. OD. The function has an absolute maximum value at x=c₁ but does not have an absolute minimum value on [a, b]. Explain the results in terms of the extreme value theorem. OA. 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 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 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. OD. 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. OOOO
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. 10- y= f(x) x T ΟΙ a c₁₂ b Determine whether the function has any absolute extreme values on [a, b]. Choose the correct answer below. OA. The function has an absolute minimum value x = b but does not have an absolute maximum value on [a, b]. OB. The function has an absolute maximum value at x=c2 and an absolute minimum value at x=b on [a, b]. OC. The function does not have any absolute extreme values on [a, b]. OD. The function has an absolute maximum value at x=c₁ but does not have an absolute minimum value on [a, b]. Explain the results in terms of the extreme value theorem. OA. 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 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 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. OD. 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. OOOO
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 8CR
Related questions
Question
![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.
10-
y= f(x)
x
T
ΟΙ
a c₁₂ b
Determine whether the function has any absolute extreme values on [a, b]. Choose the correct answer below.
OA. The function has an absolute minimum value x = b but does not have an absolute maximum value on [a, b].
OB. The function has an absolute maximum value at x=c2 and an absolute minimum value at x=b on [a, b].
OC. The function does not have any absolute extreme values on [a, b].
OD. The function has an absolute maximum value at x=c₁ but does not have an absolute minimum value on [a, b].
Explain the results in terms of the extreme value theorem.
OA. 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 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 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.
OD. 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.
OOOO](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4a1f119-fbce-477b-8682-91da15038dca%2F048d80e0-0a94-485e-add9-c80eb422e6ec%2Fshkzn0s_processed.jpeg&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.
10-
y= f(x)
x
T
ΟΙ
a c₁₂ b
Determine whether the function has any absolute extreme values on [a, b]. Choose the correct answer below.
OA. The function has an absolute minimum value x = b but does not have an absolute maximum value on [a, b].
OB. The function has an absolute maximum value at x=c2 and an absolute minimum value at x=b on [a, b].
OC. The function does not have any absolute extreme values on [a, b].
OD. The function has an absolute maximum value at x=c₁ but does not have an absolute minimum value on [a, b].
Explain the results in terms of the extreme value theorem.
OA. 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 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 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.
OD. 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.
OOOO
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