![Precalculus Enhanced with Graphing Utilities](https://www.bartleby.com/isbn_cover_images/9780321795465/9780321795465_largeCoverImage.gif)
In Problems 31-42:
(a) Find the domain of each function.
(b) Locate any intercepts.
(c) Graph each function.
(d) Based on the graph, find the range.
![Check Mark](/static/check-mark.png)
To find: The following values of the function, :
a. Domain of the function .
Answer to Problem 38AYU
Solution:
a. Domain of the function : The real values which is greater than or equal to excluding the number 1. That is, .
Explanation of Solution
Given:
The function is:
a. Domain of the function : To find the domain of , look at its definition. Since is defined for all and , the domain of is That is, .
![Check Mark](/static/check-mark.png)
To find: The following values of the function, :
b. Intercepts of the function if any.
Answer to Problem 38AYU
Solution:
b. Intercepts of the function if any: .
Explanation of Solution
Given:
The function is:
b. Intercepts: The of the graph of the function is . Because the equation for when is , the is .
The of the graph of a function are the real solutions to the equation . To find the of , solve for each “piece” of the function, and then determine which values of , if any, satisfy the condition that defines the piece.
Satisfies the condition
Contradicts the condition .
Therefore, there is no .
![Check Mark](/static/check-mark.png)
To find: The following values of the function, :
c. Graph of the function .
Answer to Problem 38AYU
Solution:
c. Graph of the function .
Explanation of Solution
Given:
The function is:
c.
![Check Mark](/static/check-mark.png)
To find: The following values of the function, :
d. Range of the function based on its graph.
Answer to Problem 38AYU
Solution:
. Range of the function based on its graph: The range takes the positive real values which is greater than 1. .
Explanation of Solution
Given:
The function is:
d. From the graph, it can be easily predicted that the range takes the positive real values which is greater than 1.
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
- 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
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)