Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 63E
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Question
sketch the graph og the function that has both y=-1 and y=5 as horizontal asymptotes
Expert Solution
Step 1
How to find the horizontal asymptotes?
Horizontal asymptotes can be calculated as-
If denominator's degree > numerator's degree, the horizontal asymptote is the x-axis, y=0.
If denominator's degree < numerator's degree, then there is no horizontal asymptote.
If the degrees are equal, the asymptote will be y equals to ratio of numerator's leading coefficient and denominator's leading coefficient.
But for graph:
Horizontal asymptotes are the horizontal lines to which the graph of function approaches.
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