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
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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.
5.
1
3
Find the absolute extrema if they exist, as well as all values of x where they occur, for the function f(x) =
- 6x-3 on the domain [-7,2].
Find the derivative of f(x) =
-6x- 3.
f'(x) =]
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. The absolute maximum is
which occurs at x =
(Round the absolute maximum to two decimal places as needed. Type an exact answer for the value of x where the maximum occurs. Use a
comma to separate answers as needed.)
O B. There is no absolute maximum.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. The absolute minimum is
which occurs at x =
(Round the absolute minimum to two decimal places as needed. Type an exact answer for the value of x where the minimum occurs. Use a
comma to separate answers as needed.)
O B. There is no absolute minimum
Transcribed Image Text:5. 1 3 Find the absolute extrema if they exist, as well as all values of x where they occur, for the function f(x) = - 6x-3 on the domain [-7,2]. Find the derivative of f(x) = -6x- 3. f'(x) =] Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum is which occurs at x = (Round the absolute maximum to two decimal places as needed. Type an exact answer for the value of x where the maximum occurs. Use a comma to separate answers as needed.) O B. There is no absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute minimum is which occurs at x = (Round the absolute minimum to two decimal places as needed. Type an exact answer for the value of x where the minimum occurs. Use a comma to separate answers as needed.) O B. There is no absolute minimum
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