Concept explainers
(a)
To sketch : The graph of the function
(a)
Explanation of Solution
Given: The function is
The graph of
Figure (1)
Consider the function
The graph of
The function is symmetric about the
Therefore, the graph of the function
(b)
To explain : How the graph of function
(b)
Explanation of Solution
Given: The function is
Consider the function
The graph of
The graph is shown in figure below.
Figure (2)
The function is neither symmetric about the
Therefore, the function
(c)
To explain : How the graph of function
(c)
Explanation of Solution
Given: The function is
Consider the function
The graph remains the same
The graph is shown in figure below.
Figure (2)
The function is symmetric about the origin. So, the function is odd.
Therefore, the function
(d)
To explain : How the graph of function
(d)
Explanation of Solution
Given: The function is
Consider the function
The graph is the reflection of
The graph is shown in figure below.
Figure (4)
The function is symmetric about the origin. So, the function is odd.
Therefore, the function
(e)
To explain : How the graph of function
(e)
Explanation of Solution
Given: The function is
Consider the function
The graph has horizontal stretch by
The graph is shown in figure below.
Figure (5)
The function is symmetric about the y axis. So, the function is even.
Therefore, the function
(f)
To explain : How the graph of function
(f)
Explanation of Solution
Given: The function is
Consider the function
The graph has vertical shrink by
The graph is shown in figure below.
Figure (6)
The function is symmetric about the y axis. So, the function is even.
Therefore, the function
(g)
To explain : How the graph of function
(g)
Explanation of Solution
Given: The function is
Consider the function
The graph is a third degree polynomial whose domain is the set of non-negative real number.
The graph is shown in figure below.
Figure (7)
The function is neither symmetric about the y axis not the origin. So, the function is neither.
Therefore, the function
(h)
To explain : How the graph of function
(h)
Explanation of Solution
Given: The function is
Consider the function
The graph is a sixteenth degree polynomial.
The graph is shown in figure below.
Figure (8)
The function is symmetric about the y axis. So, the function is even.
Therefore, the function
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