(a).
Find vertical asymptotes of the graph of the function. Be sure to state your answer as equation of line.
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) = 0
And If degree of denominator (D) = 2
If degree of numerator N < degree of denominator D, then the horizontal asymptote is y = 0.
So N < D
Then the horizontal asymptote is y = 0.
Chapter 1 Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
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