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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
13 Nov 2021

Given information

As per the given question,

The function on   that has a local maximum but no absolute maximum

Step-by-step explanation

Step 1.

The objective is to draw the graph of a function which has a local maximum but no absolute maximum in the interval  

By the extreme value theorem, if a function   is continuous on a closed interval, then   attains an absolute maximum and an absolute minimum.
 
When  , it has a local maximum but discontinuity at  
 

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