   Chapter 4.1, Problem 9E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Sketch the graph of a function f that is continuous on [1, 5] and has the given properties.Absolute minimum at 3, absolute maximum at 4, local maximum at 2

To determine

To sketch: The graph of a function f is continuous on [1,5] and satisfies the conditions that the graph has absolute maximum at 4, absolute minimum at 3, local maximum at 2.

Explanation

Let the x be represented in the x-axis and the value of f(x) be represented in the y-axis.

Since an absolute maximum occurs at the point 4, choose the greatest point on x-axis. That is, mark the point on (4, 4).

Since an absolute minimum occurs at the point 3, choose the least integer value on y-axis. That is, mark the point on (3, 1).

Since the local maximum occurs at the point 2, plot the point on (2, 3)

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