Chapter 3, Polynomial and Rational Functions - Section 3.6 - Rational Functions - 3.6 Exercises - Page 345: 42

vertical asymptotes: $x=2,x=-2$

Vertical asymptotes occur where the denominator is zero. Thus, we set the denominator to zero and solve for the $x$ values to find the vertical asymptotes: $x^2-4=0\\x^2=4\\x=\pm2$ Hence the vertical asymptotes are $x=\pm2$. Here, the degree of the numerator is larger than that of the denominator. Hence, there is no horizontal asymptote.