Horizotal & Verical Asymptotes

alyren

Junior Member
Joined
Sep 9, 2010
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Give the equation of the horizontal asymptote, if any, vertical asymptotes, if any and the domain of the function.

R(x)= (-3x^2)/ (x^2+7x-44)

how to find Hor-asymp and ver-asymp of the function?
 
\(\displaystyle R(x) \ = \ \frac{-3x^2}{x^2+7x-44} \ = \ \frac{-3x^2}{(x+11)(x-4)}\)

\(\displaystyle Ergo, \ vertical \ asymptotes \ are \ x \ = \ -11 \ and \ x \ = \ 4, \ horizontal \ astmptote, \ y \ = \ -3\)

\(\displaystyle Domain: \ (-\infty,-11)U(-11,4)U(4,\infty), \ see \ graph. \ What \ is \ the \ range \ of \ R(x)?\)

[attachment=0:2stxv3nc]ggg.jpg[/attachment:2stxv3nc]
 
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