Concept explainers
To find: The domain and the range of the function.
Answer to Problem 7RE
Solution:
The domain of the function h(x) is
The range of the function h(x) is
Explanation of Solution
Given:
The function
Calculation:
The domain is the set of all input values of the function for which the function is real and defined.
The function
Thus,
Hence, the function is defined for the numbers
Therefore, the domain of the function is
The range is the set of all output values of the function. So, find the output for the input values lies in the interval
Observe that as x gets closer to −6, but greater than −6, the value of h(x) approaches −∞.
Similarly, as x gets closer to −6, but greater than −6, the value of h(x) approaches ∞.
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