Determine from the graph whether the function has any absolute extreme values on [a, b]. Then explain how your answer is consistent with the extreme value theorem 4. х 0 b a Where do the absolute extreme values of the function occur on [a, b]? A. The absolute maximum occurs at x =d and there is no absolute minimum on [a, b] B. There is no absolute maximum and the absolute minimum occurs at x = a on [a, b]. C. There is no absolute maximum and there is no absolute minimum on [a, b]. D. The absolute maximum occurs at x =d and the absolute minimum occurs at x = a on [a, b]. Explain the results in terms of the extreme value theorem. A. The function satisfies the criteria, so absolute extrema may or may not exist. B. The function satisfies the criteria, so absolute extrema must exist. C. The function does not satisfy the criteria, so absolute extrema may or may not exist. D. The function does not satisfy the criteria, so absolute extrema must not exist.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 8CC: What does it mean to say that f(4) is a local maximum valueof f ?
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Determine from the graph whether the function has any absolute extreme values on [a, b]. Then explain how your answer is consistent with the extreme value theorem
4.
х
0
b
a
Where do the absolute extreme values of the function occur on [a, b]?
A. The absolute maximum occurs at x =d and there is no absolute minimum on [a, b]
B. There is no absolute maximum and the absolute minimum occurs at x = a on [a, b].
C. There is no absolute maximum and there is no absolute minimum on [a, b].
D. The absolute maximum occurs at x =d and the absolute minimum occurs at x = a on [a, b].
Explain the results in terms of the extreme value theorem.
A. The function satisfies the criteria, so absolute extrema may or may not exist.
B. The function satisfies the criteria, so absolute extrema must exist.
C. The function does not satisfy the criteria, so absolute extrema may or may not exist.
D. The function does not satisfy the criteria, so absolute extrema must not exist.
Transcribed Image Text:Determine from the graph whether the function has any absolute extreme values on [a, b]. Then explain how your answer is consistent with the extreme value theorem 4. х 0 b a Where do the absolute extreme values of the function occur on [a, b]? A. The absolute maximum occurs at x =d and there is no absolute minimum on [a, b] B. There is no absolute maximum and the absolute minimum occurs at x = a on [a, b]. C. There is no absolute maximum and there is no absolute minimum on [a, b]. D. The absolute maximum occurs at x =d and the absolute minimum occurs at x = a on [a, b]. Explain the results in terms of the extreme value theorem. A. The function satisfies the criteria, so absolute extrema may or may not exist. B. The function satisfies the criteria, so absolute extrema must exist. C. The function does not satisfy the criteria, so absolute extrema may or may not exist. D. The function does not satisfy the criteria, so absolute extrema must not exist.
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