Concept explainers
(a)
To sketch: a graph of the function and make a conjecture.
(a)
Explanation of Solution
Given information:
Given function,
Calculation:
Need to graph the function
Our conjecture is that the graph of this function will be a straight line.
To graph the function
Thus, conjecture has been borne out by the graph.
To verify conjecture regarding the function
On using
On using
Thus, verify conjecture that the given function is,
(b)
To prove: that conjecture is true.
(b)
Explanation of Solution
Given information:
Given function,
Calculation:
Need to prove that conjecture
On substituting
On substituting
Thus,
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