   Chapter 3.1, Problem 8E

Chapter
Section
Textbook Problem

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

To determine

To sketch:

The graph of a function f that is continuous on [1, 5] using the given properties.

Explanation

1) Concept:

Using the concept of absolute maximum and minimum, local maximum and local minimum

2) Given:

f is continuous on [1, 5], and the graph properties are absolute maximum at 4, absolute minimum at 5, local maximum at 2, and local minimum at 3.

3) Calculation:

Absolute maximum at x=4 means the function has the greatest y value at x=4  on the given interval 1, 5.

Absolute minimum at x=5 means the function has the smallest y value at x=5 on the given interval 1, 5

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