To write: A polynomial of degree n and discuss its end behaviours.
The required polynomial function is
Given data: The polynomial is f is of degree 5 such that the end behaviour of the graph of function f is given by
Method/Formula used:
An expression of the form
(i)
(ii) n is a non-negative integer.
Calculation:
A polynomial of degree 5 can be written as:
Choose
Therefore, the required polynomial is
Consider polynomial
(i) If
(i) If
Therefore, the polynomial is f is of degree 5 such that
The graph of the function
Interpretation: As clear from the graph the end behaviour of the graph of function f is
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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- 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