Concept explainers
Write a short paragraph discussing the concept of slope and average rate of change by using the result in Exercise
Answer to Problem 98E
Average rate of change is analogous to the slope at a point .For the graph of something that is not a line, the rate of change is found by finding the slope of the secant line that passes through the two points (the line that passes through the graph twice).
Explanation of Solution
Given:
It is given in the question that the equation of the line is
Concept Used:
In this, use the concept of understanding the equation by his slope and it’s intercept by understanding the question with correct and logical thinking.
Calculation:
In this equation ,
Now, Average rate of change is analogous to the slope at a point .For the graph of something that is not a line, the rate of change is found by finding the slope of the secant line that passes through the two points (the line that passes through the graph twice).
Conclusion:
Average rate of change is analogous to the slope at a point.For the graph of something that is not a line, the rate of change is found by finding the slope of the secant line that passes through the two points (the line that passes through the graph twice).
Chapter 1 Solutions
Precalculus with Limits: A Graphing 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