Suppose that a function f(x) is defined on an interval (a, b). a) Is it possible that f(x) has no absolute maximum and minimum? Explain your answer in a short paragraph. b) Support your explanation by providing an interval (a, b) and a function f(x). Graph your function on the given interval.
Suppose that a function f(x) is defined on an interval (a, b). a) Is it possible that f(x) has no absolute maximum and minimum? Explain your answer in a short paragraph. b) Support your explanation by providing an interval (a, b) and a function f(x). Graph your function on the given interval.
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 94E
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![Suppose that a function f(x) is defined on an interval (a, b).
a) Is it possible that f(x) has no absolute maximum and minimum? Explain your
answer in a short paragraph.
b) Support your explanation by providing an interval (a, b) and a function f(x). Graph
your function on the given interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F705769a2-70d6-43a9-b39c-9c9b3e3a857d%2F2c61e96e-5e74-4a1f-8ef0-898c6945554a%2F7hm281_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that a function f(x) is defined on an interval (a, b).
a) Is it possible that f(x) has no absolute maximum and minimum? Explain your
answer in a short paragraph.
b) Support your explanation by providing an interval (a, b) and a function f(x). Graph
your function on the given interval.
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