To state:
Using the vertical line test, whether the given curve is the graph of function.
Answer to Problem 38E
No vertical line could be drawn that intersects the given curve at more than one point. So, the given curve is 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.
No vertical line could be drawn that intersects the given curve at more than one point.
Conclusion:
In the above figure a vertical line which intersects the given curve at exactly one point. No vertical line could be drawn that 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