To find: The given function is one to one function or not.
Answer to Problem 86RE
The given function isn’t one to one.
Explanation of Solution
Given function:
Calculation: Use graphing device to graph the function
Graph : Sketch the graph using graphing utility.
Step 1: Press WINDOW button to access the Window editor.
Step 2: Press
Step 3: Enter the expression
Step 4: Press GRAPH button to graph the function and adjust the windows according to the graph.
The graph is obtained as:
As we see that the graph is cutting the axis just one time. Therefore, the function is one to one function.
Hence, the function q(x) is one to one function.
Interpretation:
If some horizontal line intersects the graph of the function more than once, then the function is not one to one.
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th 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