(a)
To draw: .The graph of the given function and determine the graph is increasing or decreasing.
(a)
Explanation of Solution
Given: The given function is
The graph of the function
Figure (1)
The function
Both the function are obtained from the parent function
The vertical horizontal transformation don the change the increasing property of the function so
The function
(b)
.Whether the graph of
(b)
Explanation of Solution
Given: The given function is
The graph will always be either increasing or decreasing. The degree of the polynomial is odd and
Therefore, yes the graph of the function will be either always increasing or always decreasing.
(c)
.The graph of the given function and whether it can be written in the for
(c)
Explanation of Solution
Given: The given function is
Consider the function.
The graph of the function is shown in figure below.
Figure (1)
Since, the function is not always increasing or decreasing. Thus it cannot be written in the form
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