Oblique (or Slant) Asymptote
The line y=mx+n is an
oblique (or slant) asymptote of the graph of a function f, if f(x) approaches mx+n as x increases or decreases without bound. The following are examples of slant (oblique) asymptotes:
The line is a slant asymptote of the function f if
Algorithm for oblique asymptotes.
Find the slant asymptote(s) of the following function: Firstly, we are going to study the behaviour of the function at
-∞
The equation of the asymptote can be determined by setting y equal to the quotient of P(X) divided by Q(x). Find the slant asymptote of the following function:
To find the slant asymptote, I'll do the long division: The slant asymptote is the polynomial part of the answer, not the remainder.
Find the oblique (slant) asymptote(s) of the function
The number of oblique (slant) asymptotes is: |