Concept explainers
(a)
To show shifts in the graph with c = -2, 0 and 2.
(a)
Explanation of Solution
Given information: For each function sketch a graph on the same set of coordinate axes.
Graph:
Interpretation: We have modulus graph:-
Values of c | Function |
-2 | |
0 | |
2 |
CaseI.
The Vertical Shift in the graph,
On comparing the function
So,we can say that the graph is drawn downward by three unit.
Case II.
The Vertical Shift in the graph,
On comparing the function
So, the greatest integer graph with is drawn without shifts.
Case III.
The Vertical Shift in the graph,
On comparing the function
So,we can say that the graph is drawn downward by three unit.
(b)
To sketch a graph of each function for c = -2 , 0 and 2.
(b)
Explanation of Solution
Given information: For each function sketch a graph on the same set of coordinate axes.
Graph:
Interpretation: We have modulus graph:-
Values of c | Function |
-2 | |
0 | |
2 |
CaseI.
The Horizontal Shift in the graph,
On comparing
CaseII.
The Horizontal Shift in the graph,
On comparing
This represent the greatest integer graph with no shifts.
Case III.
Horizontal Shift in the graph,
On comparing
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
- 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