Concept explainers
To explain: Is every rational function is a polynomial function and is every polynomial function is a rational function.
Answer to Problem 76E
No, not every rational function is a polynomial function.
Yes, every polynomial function is a rational function.
Explanation of Solution
Definition Used:
Rational function is the quotient of polynomial functions which is written as
From the above definition it is clear that unless the polynomial in the denominator is a factor of the polynomial in numerator, that rational function is not a polynomial function.
Thus, not every rational function is a polynomial function.
But every polynomial function is a rational function because any polynomial function
Chapter 2 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