Sketch a graph of a function f with the following properties: the function is continuous on [-5, 5] f'> 0 for all x< 1 and f'<0 for x> 1 f' is decreasing for all x < -1 and x > 1 f' is increasing for all -1 < x < 1

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 a graph of a function f with the following properties:
• the function is continuous on [-5, 5]
f'> 0 for all x < 1 and f' <0 for x > 1
f' is decreasing for all x < -1 and x > 1
. f' is increasing for all -1 <x< 1
•
Transcribed Image Text:Sketch a graph of a function f with the following properties: • the function is continuous on [-5, 5] f'> 0 for all x < 1 and f' <0 for x > 1 f' is decreasing for all x < -1 and x > 1 . f' is increasing for all -1 <x< 1 •
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