SOLUTION: Graph the rational funxtion f(x)=x^2+5x-6/x^2+2x-3. indentify the vertical and horizontal asymptotes, and any holes in the graph

Question 295503: Graph the rational funxtion f(x)=x^2+5x-6/x^2+2x-3. indentify the vertical and horizontal asymptotes, and any holes in the graph
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Simplify first.
You can factor numerator and denominator and get rid of common factors, if there are any.

Vertical asymptotes occur when the denominator goes to zero.
For f(x), the denominator goes to zero when,

To find horizontal asymptotes, divide numerator and denominator by the highest exponent x term, then take the limit.

in the limit, the crossed out terms go to zero.

So then

There is a horizontal asymptote at .
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Since there is a division by zero at , the value of is undefined.
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