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
