(a)
To graph: the function
(a)
Explanation of Solution
Given information:
Given function
Graph:
Now, consider the function.
Sketch the graph of the function using graphing utility.
Interpretation:
From the graph it can be concluded that the function is a horizontal line parallel to x-axis and it equation is
Hence, the conjecture can be made that the function is given as
(b)
To verify: the conjecture of part (a).
(b)
Explanation of Solution
Given information:
Given function
Calculation:
Now, consider the function.
The conjecture from part (a) is
Use the identity
Hence, the conjecture is verified.
Chapter 7 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