Concept explainers
(a)
To find:
The graph of
(a)
Explanation of Solution
Given:
The function
Concept used:
The definition of a vertical cusp is that the one sided limits of the derivative approach opposite
The derivative at the relevant point is undefined in both the cusp and the vertical tangent
Calculation:
The function is
The vertical tangent means that the derivative at that point approaches infinity .
Since the slope is infinitely large .
Test one point in each of the region formed by the graph .
If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function .
To draw the table
To draw a graph
(b)
To find:
The graph of
(b)
Explanation of Solution
Given:
The function
Concept used:
The definition of a vertical cusp is that the one sided limits of the derivative approach opposite
The derivative at the relevant point is undefined in both the cusp and the vertical tangent
Calculation:
The function is
The vertical tangent means that the derivative at that point approaches infinity .
Since the slope is infinitely large .
Test one point in each of the region formed by the graph .
If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function .
To draw the table
To draw a graph
Range of the
Chapter 2 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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