Concept explainers
a.
The domain and the range of the function f.
a.
Answer to Problem 11T
The domain of the function f = [0, 6]. The range of the function f = [1, 7]
Explanation of Solution
Given:
The graph of f is given.
Concept Used:
The concept of Domain and Range is used.
Calculation:
To Calculate Domain, look at the values that x can accept.
In the graph, x lies between 0 and 6, both included.
So, the domain of graph f is [0, 6].
To Calculate Range, look at the values of y.
In the graph, ylies between 1 and 7, both included.
So, the range of graph f is [1, 7].
Conclusion:
The domain of the function f = [0, 6]. The range of the function f = [1, 7].
b.
To sketch : the graph of
b.
Explanation of Solution
Given information : The graph of f is given.
Graph : The graph is plotted below.
Interpretation : The graph of
c.
The average rate of change of fbetween x = 2 and x = 6.
c.
Answer to Problem 11T
The average rate of change of f between x = 2 and x = 6 is
Explanation of Solution
Given:
The graph of f is given.
Concept Used:
The concept of Rate of change of graph is used.
Calculation:
To Calculate the average rate of change of f between x = 2 and x = 6.
Average Rate of Change of f =
Conclusion:
The average rate of change of fbetween x = 2 and x = 6 is
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