Concept explainers
Which of the lines graphed below are the graph of the linear function. Provide an explanation.
The graph in
Given information: The line graphs are given below:
Explanation:
The linear functions are the straight lines and the average rate of change of the linear function is constant.
The slope
Since in the
Hence,
Which of the lines graphed below are the graph of the function. Provide an explanation.
The graph in
Given information: The line graphs are given below:
Formula:
Use the vertical line test to determine whether the graph is a function.
Explanation:
If a vertical line is moved across the given graphs, and at any time, touches the graph at only one point, then the graph is a function:
Since the horizontal lines are the graph of the function, the graph in
Which of the lines graphed below are not the graph of the function. Provide an explanation.
The graph in
Given information: The line graphs are given below:
Formula:
Use the vertical line test to determine whether the graph is not a function.
Explanation:
If a vertical line is moved across the given graphs, and at any time, touches the graph at only one point, then the graph is a function:
Since the vertical lines are not the graph of the function, the graph in
Chapter 2 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- 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