Answer in Geometry for Sajid #91575
we decompose this function into two:
find the limits of these functions for x->∞ and x->-∞.
and conclude the equation of a horizontal asymptote is y=0.
find the discontinuity points of the functions ( using the denominator ): x=-4 and x=0 (they will be the same for both functions);
Functions aborted on x∈[-4;4) which means that the point x=0 cannot be an asymptote;
finding the limits of lim(x->-4+0) and lim(x->-4-0) for each of two functions we obtain that x=-4 is a vertical asymptote.
Anwser: a, d