Sketch the graph of a continuous function fon [0,4] satisfying the following properties. f'(x)= 0 at x =1 and 3; f'(2) is undefined; fhas an absolute maximum at X = 2;fhas neither a local maximum nor a local minimum at X = 1; and f has an absolute minimum at x = 3.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Sketch the graph of a continuous function f on 0,4 satisfying the following properties.
f'(x) = 0 at x = 1 and 3; f'(2) is undefined; f has an absolute maximum at X = 2;f has
neither a local maximum nor a local minimum at X = 1; and f has an absolute minimum at
x = 3.
Transcribed Image Text:Sketch the graph of a continuous function f on 0,4 satisfying the following properties. f'(x) = 0 at x = 1 and 3; f'(2) is undefined; f has an absolute maximum at X = 2;f has neither a local maximum nor a local minimum at X = 1; and f has an absolute minimum at x = 3.
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