What is the difference between a relative extremum and an absolute extremum? Choose the correct answer below. O A. A continuous function on a closed interval can have more than one relative maximum and relative minimum but it has only one absolute maximum and absolute minimum. O B. A continuous function on a closed interval can have more than one absolute maximum and absolute minimum but does not always have relative maximum and relative minimum. O C. A continuous function on a closed interval can have more than one relative maximum and relative minimum but does not always have an absolute maximum and absolute minimum. O D. A continuous function on a closed interval can have more than one absolute maximum and absolute minimum but it has only one relative maximum and relative minimum.

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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What is the difference between a relative extremum and an absolute extremum?
Choose the correct answer below.
O A. A continuous function on a closed interval can have more than one relative maximum and relative minimum but it has only one absolute
maximum and absolute minimum.
O B. A continuous function on a closed interval can have more than one absolute maximum and absolute minimum but does not always have relative
maximum and relative minimum.
O C. A continuous function on a closed interval can have more than one relative maximum and relative minimum but does not always have an
absolute maximum and absolute minimum.
O D. A continuous function on a closed interval can have more than one absolute maximum and absolute minimum but it has only one relative
maximum and relative minimum.
Transcribed Image Text:What is the difference between a relative extremum and an absolute extremum? Choose the correct answer below. O A. A continuous function on a closed interval can have more than one relative maximum and relative minimum but it has only one absolute maximum and absolute minimum. O B. A continuous function on a closed interval can have more than one absolute maximum and absolute minimum but does not always have relative maximum and relative minimum. O C. A continuous function on a closed interval can have more than one relative maximum and relative minimum but does not always have an absolute maximum and absolute minimum. O D. A continuous function on a closed interval can have more than one absolute maximum and absolute minimum but it has only one relative maximum and relative minimum.
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