   Chapter 3.1, Problem 9E

Chapter
Section
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 that is continuous on [1, 5] using given properties.

Explanation

1) Concept:

Using concept of Absolute maximum & minimum, local maximum & local minimum

2) Given:

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

3) Calculation:

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

Absolute minimum at x=3 means function has smallest y value at x=3 on the given interval 1, 5

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