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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Use the graph to state the absolute and local maximum and minimum values of the function.

Chapter 4.1, Problem 6E, Use the graph to state the absolute and local maximum and minimum values of the function.

To determine

To state: The absolute maximum and minimum, local maximum and minimum of the given graph.

Explanation

The open dot in the graph indicates that the point is not included in the domain. Therefore, the point x=0 is not included in the domain. Thus, the maximum value does not occur at that point and hence there is no absolute maximum value.

Since g(4)g(x) for all x in domain, absolute minimum occurs at g(4)=1 .

Since g(3)g(x) for any x nearer to 3 and g(6)g(x) for any x nearer to 6

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