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4. At which points does the function f have absolute maximum or minimum, or local maximum or minimum? Absolute maximum at Absolute minimum at Local maximum at Local minimum at 2

4. At which points does the function f have absolute maximum or minimum, or local maximum or minimum? Absolute maximum at Absolute minimum at Local maximum at Local minimum at 2

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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4. At which points does the function f have absolute maximum or minimum, or local maximum or minimum? Absolute maximum at Absolute minimum at Local maximum at Local minimum at t
Transcribed Image Text:4. At which points does the function f have absolute maximum or minimum, or local maximum or minimum? Absolute maximum at Absolute minimum at Local maximum at Local minimum at t
10:29 b b be ← *Step-1 Maxima is a Curve changes from positive to negative. Step2 b) 4G till ll 27% all the There is one Jalue of a where among maximas the value is highest, this Jalue of x is the point of global maxima while other points are for local maxima. Hence, points of maxima ane: x= -1,1, 3, 5 & 7 *Step-2 point where the stope of a Absolute maxima occurs at x=1- Local maxima occurs at: x= -1,3,587 Similarly, Mainima is a point where the slope of a curve changes from negative to positive. There is one Jalue of x where among all the minimas the value of the function is lowest, this value of x is the point of global minima while other points are for local minimas. Hence, points of minima ane: x = 0, 2, 4, 6, 8 Absolute maxima occurs at:x=0 Local maxima occurs at : x=2, 4, 6, 8 Note- dark dot mean the point is included, hollow dot implies point is not included. functions 2) absolute maximum means maximum value of total function which is at x = 1 3) local minimun means minimum value of small intervals or individual parts of awe. ||| 1) absolute minimun means minimum value of total which is at x=0 VX 8 Do
Transcribed Image Text:10:29 b b be ← *Step-1 Maxima is a Curve changes from positive to negative. Step2 b) 4G till ll 27% all the There is one Jalue of a where among maximas the value is highest, this Jalue of x is the point of global maxima while other points are for local maxima. Hence, points of maxima ane: x= -1,1, 3, 5 & 7 *Step-2 point where the stope of a Absolute maxima occurs at x=1- Local maxima occurs at: x= -1,3,587 Similarly, Mainima is a point where the slope of a curve changes from negative to positive. There is one Jalue of x where among all the minimas the value of the function is lowest, this value of x is the point of global minima while other points are for local minimas. Hence, points of minima ane: x = 0, 2, 4, 6, 8 Absolute maxima occurs at:x=0 Local maxima occurs at : x=2, 4, 6, 8 Note- dark dot mean the point is included, hollow dot implies point is not included. functions 2) absolute maximum means maximum value of total function which is at x = 1 3) local minimun means minimum value of small intervals or individual parts of awe. ||| 1) absolute minimun means minimum value of total which is at x=0 VX 8 Do
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