Concept explainers
To find: The domain and the range of the function.
Answer to Problem 8RE
Solution:
The domain of the function F(t) is
The range of the function F(t) is
Explanation of Solution
Given:
The function
Definition used:
The domain is the set of all input values of the function for which the function is real and defined.
Calculation:
Recall the fact that the domain of the cosine function is
Note that the adding 3 to the cosine function does not change the domain.
Thus, domain of the function
The range of the cosine function is
That is,
For
Thus, it can be concluded that the range of the function is
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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