Determine the domain and the equations of the asymptotes for

Determine the domain and the equations of the asymptotes for the graph of the rational function. 17) lease esPlain heid? -2

Solution

Domain : - infinity < x < -2 as we have asymtote at x=-2

And x > 2 as we have asymtote at x= 2

Also: -2<x <2

So, Domain : (-inf, -2) U(-2 , 2) U ( 2 , infinity)

We have verical asymtotes at x = -2 and x= 2

Horizontal asymtotes:

At y = -4 along which graph move but never crosses it , so there is an asymtote

So, y = -4

 Determine the domain and the equations of the asymptotes for the graph of the rational function. 17) lease esPlain heid? -2 SolutionDomain : - infinity < x

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