Tutorial Exercise Find all vertical and horizontal asymptotes of the graph of the function. 1-9x f(x) = %3D 1 + 2x Step 1 N(x) D(x) where N(x) and D(x) have no common factors, the graph of f has vertical asymptotes at the zeros of D(x). This occurs because as the denominator nears zero, f becomes very large in magnitude. Given this, what is First, determine the vertical asymptote(s). Since f(x) is a rational function and can be written f(x) the equation of the vertical asymptote? Submit Skip (you cannot come back)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Tutorial Exercise
Find all vertical and horizontal asymptotes of the graph of the function.
1-9x
f(x) =
1 + 2x
Step 1
First, determine the vertical asymptote(s). Since f(x) is a rational function and can be written f(x)
M(x)
D(x)'
where N(x) and D(x) have no common factors, the graph of f has vertical asymptotes at the zeros of D(x).
This occurs because as the denominator nears zero, f becomes very large in magnitude. Given this, what is
the equation of the vertical asymptote?
Submit
Skip (you cannot come back)
Transcribed Image Text:Tutorial Exercise Find all vertical and horizontal asymptotes of the graph of the function. 1-9x f(x) = 1 + 2x Step 1 First, determine the vertical asymptote(s). Since f(x) is a rational function and can be written f(x) M(x) D(x)' where N(x) and D(x) have no common factors, the graph of f has vertical asymptotes at the zeros of D(x). This occurs because as the denominator nears zero, f becomes very large in magnitude. Given this, what is the equation of the vertical asymptote? Submit Skip (you cannot come back)
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