To graph: The given function.
Explanation of Solution
Given information:
The following function:
Calculation:
Step 1:
Find the zeroes.
There is a zero at
Step 2:
Find the asymptotes.
There is a vertical asymptote at
The degree of numerator is greater than the degree of the denominator. Therefore, there is no horizontal asymptote.
The difference between the degree of the numerator and the degree of the denominator is
Divide the numerator by the denominator to determine the equation of the oblique asymptote.
The equation of the asymptote is the quotient excluding any remainder.
Thus, the oblique asymptote is the line
Step 3:
Draw the graph
Use a table to find ordered pairs on the graph. Then connect the points.
The table of values:
The graph:
Chapter 8 Solutions
Glencoe Algebra 2 Student Edition C2014
Additional Math Textbook Solutions
College Algebra
Linear Algebra and Its Applications (5th Edition)
College Algebra (7th Edition)
College Algebra
Calculus: Early Transcendentals (3rd Edition)
- 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