The product of two even functions.
Answer to Problem 72E
The product of two even functions is always even.
Explanation of Solution
Given information:
Must the product of two even functions always be even. Give reason for answer.
Consider two even functions
Let
Therefore, the product of two even functions is always even.
The product of two odd functions.
Answer to Problem 72E
The product of two odd functions is always odd.
Explanation of Solution
Given information:
Can anything be said about the product of two odd functions. Give reason for answer.
Consider two odd functions
Let
Therefore, the product of two odd functions is always odd.
Chapter 0 Solutions
AP CALCULUS TEST PREP-WORKBOOK
- 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