Factor the top and bottom. vertical asymptotes are the values for x that will make the denominator = 0. To find the horizontal asymptote when the powers of the numerator and denominator are the same, just divide to coefficients.
asymptotes are where the graph cant go, the graph will get closer and closer by never touch....see the attachment
asymptotes are where the graph cant go, the graph will get closer and closer by never touch....see the attachment