Concept explainers
To sketch: The function
Explanation of Solution
Given:
The function is
Result used:
Even function:
A function is even if and only if
Calculation:
Consider the function
Observe that
Therefore,
Thus, for all
The function can be split into four different cases as follows:
Case (i):
For
To sketch: Use the online graphing calculator and draw the graph of the function:
Case (ii):
For
To sketch: Use the online graphing calculator and draw the graph of the function:
Case (iii):
For
To sketch: Use the online graphing calculator and draw the graph of the function:
Case (iv):
For
To sketch: Use the online graphing calculator and draw the graph of the function:
Combine all the graphs in figure 1, 2, 3 and 4 as shown below in Figure 5
To sketch: Use the online graphing calculator and draw the graph of the function:
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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