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 a y=f(x) C b Q Determine whether the function has any absolute extreme values on (a, b). Choose the correct answer below. OA. The function has an absolute maximum value at x = c but does not have an absolute minimum value on (a, b). OB. The function has an absolute minimum value at x=b but does not have an absolute maximum value on (a, b)

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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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
C
y=f(x)
b
Q
Determine whether the function has any absolute extreme values on (a, b). Choose the correct answer below.
SOA. The function has an absolute maximum value at x = c but does not have an absolute minimum value on (a, b)
OB. The function has an absolute minimum value at x=b but does not have an absolute maximum value on (a, b).
OC. The function has an absolute maximum value at x = c and an absolute minimum value at x=b on (a, b).
OD. The function does not have any absolute extreme values on (a, b).
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 C y=f(x) b Q Determine whether the function has any absolute extreme values on (a, b). Choose the correct answer below. SOA. The function has an absolute maximum value at x = c but does not have an absolute minimum value on (a, b) OB. The function has an absolute minimum value at x=b but does not have an absolute maximum value on (a, b). OC. The function has an absolute maximum value at x = c and an absolute minimum value at x=b on (a, b). OD. The function does not have any absolute extreme values on (a, b).
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