Concept explainers
To sketch the graph of the function
Explanation of Solution
Given information:
The function is
Concept used:
The greatest integer function is defined by,
The horizontal shrinking and stretching of graph are defined by,
To graph,
If
If
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 graph
Since,
Hence,
The graph of
Interpretation:
From the above graph, it can be observed that graph of
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning