To state:
Using the vertical line test, whether the given curve is the graph of function.
Answer to Problem 37E
There exists a vertical line which intersects the given curve at more than one point. So, the given curve is not the graph of a function.
Explanation of Solution
Given:
The curve:
Concepts Used:
The vertical line test to determine whether a curve is the graph of a function states: if every vertical line in the
Calculations:
Draw a vertical line through the given curve at a place where it looks likely to intersect the curve at more than one points.
Conclusion:
In the above figure it is shown that there exists a vertical line which intersects the given curve at more than one point. So, the given curve is not the graph of a function.
Chapter 0 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
- 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