Concept explainers
a.
Explain the meaning of each type of symmetry.
a.
Answer to Problem 27RCC
The graph is reflect over the
Explanation of Solution
Given information:
Explain the meaning of each type of symmetry. How do you test for it? Symmetry with respect to the
Calculation:
Graph of any function can have certain symmetrical properties that have both graphical and algebraic meaning.
A graph can be symmetrical with respect to
On comparing reflecting over
Hence, the graph is reflect over the
b.
Explain the meaning of each type of symmetry.
b.
Answer to Problem 27RCC
The graph is reflect over the
Explanation of Solution
Given information:
Explain the meaning of each type of symmetry. How do you test for it? Symmetry with respect to the
Calculation:
Graph of any function can have certain symmetrical properties that have both graphical and algebraic meaning.
A graph can be symmetrical with respect to
We can define this property algebraically by the condition:
On comparing reflecting over
Hence, the graph is reflect over the
c.
Explain the meaning of each type of symmetry.
c.
Answer to Problem 27RCC
The graph is rotate
Explanation of Solution
Given information:
Explain the meaning of each type of symmetry. How do you test for it? Symmetry with respect to the origin.
Calculation:
Graph of any function can have certain symmetrical properties that have both graphical and algebraic meaning.
A graph can be symmetrical with respect to origin, if we consider such a graph as representing a function, then the function is said to be an “odd function.”
Algebraically
To test for symmetrical with respect to origin graphically, rotate the function
Hence, the graph is rotate
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th 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