College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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![Determine from the graph whether the function has any absolute extreme values
on an interval with endpoints a and b. Then explain how your answer is
consistent with the extreme value theorem.
a
.....
Where do the absolute extreme values of the function occur on [a, b]?
O A. There is no absolute maximum and there is no absolute minimum on on the interval.
B. The absolute maximum occurs at x = d and there is no absolute minimum on the interval.
OC. The absolute maximum occurs at x = d and the absolute minimum occurs at x = a on the interval.
O D. There is no absolute maximum and the absolute minimum occurs at x = a on the interval.
Explain the results in terms of the extreme value theorem.
O A. The function satisfies the criteria, so absolute extrema may or may not exist.
B. The function does not satisfy the criteria, so absolute extrema must not exist.
OC. The function does not satisfy the criteria, so absolute extrema may or may not exist.
O D. The function satisfies the criteria, so absolute extrema must exist.
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Transcribed Image Text:Determine from the graph whether the function has any absolute extreme values
on an interval with endpoints a and b. Then explain how your answer is
consistent with the extreme value theorem.
a
.....
Where do the absolute extreme values of the function occur on [a, b]?
O A. There is no absolute maximum and there is no absolute minimum on on the interval.
B. The absolute maximum occurs at x = d and there is no absolute minimum on the interval.
OC. The absolute maximum occurs at x = d and the absolute minimum occurs at x = a on the interval.
O D. There is no absolute maximum and the absolute minimum occurs at x = a on the interval.
Explain the results in terms of the extreme value theorem.
O A. The function satisfies the criteria, so absolute extrema may or may not exist.
B. The function does not satisfy the criteria, so absolute extrema must not exist.
OC. The function does not satisfy the criteria, so absolute extrema may or may not exist.
O D. The function satisfies the criteria, so absolute extrema must exist.
of
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