Concept explainers
To find: An expression for the function that represents the given graph.
Answer to Problem 51E
The expression for the function that represents the given graph is
Explanation of Solution
Formula used:
Slope intercept form,
Point slope form,
Calculation:
From the given graph, it is clear that there exist two lines with different domains. So, it leads to a
Notice that, the graph contains two straight lines.
One line has slope −1 and y-intercept is 3 on the domain
Use slope intercept form and obtain the equation of the line with slope −1 and y-intercept 3.
Use point slope form and obtain the equation of the line with slope 2 and the point
Combine equations (1) and (2) and the domains to obtain the required function.
That is, the piecewise function of the given graph is
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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