**43+ Sketch Rational Function
Images**. Our first rational function to graph. Example explains how to identify and find the key features of a rational function.

Let f(x) = p(x)/q(x) be a rational function, ie, a ratio or fraction of two polynomials p(x) and q(x). Identify the points of discontinuity, holes, vertical asymptotes, and horizontal asymptote of each. To graph a rational function, find the asymptotes and intercepts, plot a few points on each side of each vertical asymptote and then sketch the graph.

### Here is a sketch of the function with the points found above.

Find the function's zeros and vertical asymptotes, and plot them on a number line. See more ideas about rational function, function, rational expressions. Let's denote the degree of a polynomial p by deg( p). To assign related questionbook questions on this topic to be submitted either through.