(a).
Find vertical asymptotes of the graph of the function. Be sure to state your answer as equation of line.
None.
Given:
The given function,
Concept Used:
A vertical asymptote is a vertical line that has the property that either: 1. 2. That is, as approaches from either the positive or negative side, the function approaches infinity. Vertical asymptotes occur at the values where a rational function has a denominator of 0.
Calculation:
The given function,
The vertical asymptotes of the function
(b).
Find horizontal asymptotes of the graph of the function. Be sure to state your answer as equation of line.
Given:
The given function,
Concept Used:
- A horizontal asymptote is a horizontal line that tells you how the function will behave at the very edges of a graph.
- If degree of numerator N < degree of denominator D, then the horizontal asymptote is y = 0.
- If degree of numerator N =degree of denominator D, then the horizontal asymptote is y = ratio of the leading coefficients.
- If degree of numerator N > degree of denominator D, then there is no horizontal asymptote.
Calculation:
The given function,
Here degree of numerator (N) = 1
And If degree of denominator (D) = 1
If degree of numerator N =degree of denominator D, then the horizontal asymptote is y = ratio of the leading coefficients.
So N = D
Horizontal asymptote is −
Thus the horizontal asymptote of the function
Chapter 1 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- 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
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