**Download Sketch Rational Functions
PNG**. Where p and q are polynomials in x. Example explains how to identify and find the key features of a rational function.

For rational functions, the graph can be divided into sections. Sketch the graph of each of the following functions. Almost all of our examples will be restricted to degree 1 and degree 2.

### Approximation and curve sketching » session 27:

Scroll down the page for more examples and solutions on how to graph rational functions. In this class, from this point on, most of the rational functions that we'll see will have both their numerators and their denominators completely factored. This is the essence of dealing with holes in rational functions. • because of the vertical and horizontal/oblique asymptotes of rational functions, sections of this graph may appear to be connected.