x – 4 g(x) = x² + x – 2 a) Factor the denominator. Rewrite the rational function with the factored denominator. Identify the zeros of the denominator. (it will help you find the vertical asymptotes). Vertical asymptotes: x= b) Compare the degrees of both numerator and denominator and determine the horizontal asymptote. Degree of numerator = Degree of denominator = Horizontal asymptote: y = c) Vertical intercept (y-intercept).

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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Solve a, b and c for the rational function. (3 question Bartleby max) Show all work. (Precalculus 1 Easy)

9. Find the intercepts, horizontal asymptote(s) and vertical asymptote(s) for the following
rational function and graph it. Follow the steps below.
х — 4
x² + x – 2
g(x) =
a) Factor the denominator. Rewrite the rational function with the factored denominator. Identify
the zeros of the denominator. (it will help you find the vertical asymptotes).
Vertical asymptotes: x=
x =
b) Compare the degrees of both numerator and denominator and determine the horizontal
asymptote.
Degree of numerator =
Degree of denominator =
Horizontal asymptote: y =
c) Vertical intercept (y-intercept).
Transcribed Image Text:9. Find the intercepts, horizontal asymptote(s) and vertical asymptote(s) for the following rational function and graph it. Follow the steps below. х — 4 x² + x – 2 g(x) = a) Factor the denominator. Rewrite the rational function with the factored denominator. Identify the zeros of the denominator. (it will help you find the vertical asymptotes). Vertical asymptotes: x= x = b) Compare the degrees of both numerator and denominator and determine the horizontal asymptote. Degree of numerator = Degree of denominator = Horizontal asymptote: y = c) Vertical intercept (y-intercept).
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