13 Nov 2021
Problem 12b
Page 268
Section 4.2: Maximum and Minimum Values
Chapter 4: Applications of Differentiation
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