To explain: Rotating a graph of an odd function
Explanation of Solution
Given information: Rotating a graph of an odd function
Calculation:
If you rotate the intercept
It will still run through the origin or at least parallel with it.
When you rotate it the direction becomes inverted.
When it was rising it will now be decreasing and vice versa.
It maintains the same intercept and symmetry.
It’s still an odd function.
This is a steep function that comes from the down-left part close to the origin. It hits the x-axis just before the origin and then goes straight left on the x-axis to the origin. It then continuous straight left and about at the same length you hit the x-axis it takes off upwards and it’s again steep. Try to maintain symmetry.
To draw take the
Now it comes from the upper-left part. It hits the x-axis again, straight through the origin and then goes downward. The two functions combined look like an hourglass.
Then rotate the function.
Thus, it will still be an odd function and the direction is inverted.
Chapter 3 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (4th Edition)
Precalculus (10th Edition)
Calculus: Early Transcendentals (2nd Edition)
Thomas' Calculus: Early Transcendentals (14th 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