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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.2, Problem 86E

To determine

To sketch the graph of the function

Expert Solution

**Given information: **

The function whose graphs consist of horizontal line segment is called as step functions.

**Concept used:**

The greatest integer function is defined by,

**Graph:**

To sketch the graph of the function

The table showing the values of

The function is constant between consecutive integers, so the graph between integers is a horizontal line segment as shown below:

To sketch the graph of the function

The table showing the values of

The function is constant between consecutive integers, so the graph between integers is a horizontal line segment as shown below:

To sketch the graph of the function

The table showing the values of

The function is constant between consecutive integers, so the graph between integers is a horizontal line segment as shown below:

**Interpretation: **

On comparing each of the above three graphs, it can be observed that each of the horizontal line segment shifted by one unit for every one unit increase in integer within the bracket.

For the function,

The graph of