Concept explainers
To write: Discuss end behaviour of a function.
The end behaviour of the graph of functions
Given data: The end behaviour of the function
Method/Formula used:
An expression of the form
(i)
(ii) n is a non-negative integer.
Calculation:
A function (polynomial) of degree n can be written as:
Choose
Therefore, the required polynomial is
Consider the polynomial function
(i) If
Thus,
(i) If
Now construct a function
The graphs of functions
in the same window are shown in Fig. (1):
Interpretation: As clear from the graph the end behaviour of the graph of functions
(i)
(ii)
Thus, the behaviours of functions
This graph also defines the additive inverse of a function.
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- 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