To check: The statement ‘’The function display in the graph is one to one ‘’this is true or false.
Answer to Problem 52E
The answer is false.
Explanation of Solution
Given information: In the graph below, the function display is one to one.
The graph is shown:
Calculation:
To find out if a function is one-to-one, apply the horizontal line test. The matching function is NOT one-to-one if a horizontal line can be drawn that intersects the graph at more than one location. For a function to be a function, it must be a one-to-one relationship.
From the preceding graph that it is possible to draw a horizontal line that intersects the graph multiple times. As a result, neither the given function nor its inverse is a one-to-one relationship.
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