Question 700374: Give the equation of any vertical, horizontal, or oblique asymptote for the graphs of each ration function in #1.
f(x)=(2x^2-x-10) / (x^2-2x-3)
*note: a fraction
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Give the equation of any vertical, horizontal, or oblique asymptote for the graphs of each rational function
f(x)=(2x^2-x-10) / (x^2-2x-3)
**
vertical asymptotes:
set denominator=0, then solve for x
x^2-2x-3=0
(x-3)(x+1)=0
vertical asymptotes:
x=3
x=-1
..
horizontal asymptote:
Since degree of numerator and denominator are the same,
divide lead coefficient of numerator by lead coefficient of denominator
=2/1=2
horizontal asymptote: y=2
..
oblique asymptotes: none
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