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Concept explainers
To Explain: The change in average rate of change when function is increasing.
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Answer to Problem 17CT
When function is increasing the average rate of change is also too increasing.
Explanation of Solution
Given information:
The quadratic function
Formula used: Let’s use the formula for the average rate of change for a function f(x) over interval
Calculation:
Let’s find the rate of change for the interval [0, 1]
So, rate of change
Now, let’s find the rate of change for the interval [1, 2]
Rate of change for this interval is
Now, let’s find rate of change for the interval [2, 3]
Rate of change over this interval is
Conclusion:
Notice the average rate of change over these intervals are increasing
Chapter 8 Solutions
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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