True or False The domain and the range of the reciprocal function are the set of all real numbers.
Check whether the given statement is true or false.
Answer to Problem 8AYU
Solution:
It is a false statement.
Explanation of Solution
Given:
Statement says that the domain and range of the reciprocal function are the set of all real numbers.
By the concept of reciprocal function, the domain and range of the reciprocal function are the set of all nonzero real numbers. The graph has no intercepts. The reciprocal function is odd and is decreasing on the intervals and .
Hence the statement is false.
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus: Early Transcendentals (3rd Edition)
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning