How do you find the vertical, horizontal or slant asymptotes for #f(x) = -(1/x)#?
The VA is
Vertical asymptote(s) are found by setting the denominator equal to zero.
Horizontal and slant asymptotes are found using the 3 HA rules.
If degree of denominator > degree of numerator, the HA is
If degree of denominator = degree of numerator, the HA is the
leading coefficient of the numerator divided by the leading coefficient of the denominator.
If degree of the denominator < degree of numerator, there is a slant asymptote.
In this example, the degree of the numerator is zero and the degree of the denominator is one, so we use the first rule, and the HA is