![EBK PRECALCULUS W/LIMITS:GRAPH.APPROACH](https://www.bartleby.com/isbn_cover_images/9781305545175/9781305545175_smallCoverImage.gif)
To state: that whether the function is one-to-one or not and verify graphically.
![Check Mark](/static/check-mark.png)
Answer to Problem 68E
Yes, the function is one-to-one and the inverse function is
Explanation of Solution
Given information : thefunction is,
let
There isno possibilities that
to graph the given function first create a table for plotting the points and then make a curve smoothly by jointing the points.
x | y |
2 | 0 |
3 | 1 |
4 | |
6 | 2 |
The graph can be obtained as:
From the above graph, it can be observed that the graph of the function hasno horizontal lines that intercept the graph more than one times, so the function isa one-to-one and its inverse functionexists.
Now for inverse function, substitute
Thus, the inverse function is
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS:GRAPH.APPROACH
- 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
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)