Concept explainers
To sketch the graph of the function
Explanation of 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
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