Main Screen:
Graph Rational Expressions
- In Task Box, select
Rational Expressions - Graph f(x) - In Solution Methods box, select Quadratic Formula
- Click Get Graph Data button
Input Editor screen
A Rational Function is the ratio of two polynomial functions. This lesson is to teach how to graph a rational function.P(x) f(x) = ----- Q(x)where P(x) and Q(x) are Polynomial Functions. We will use the following to demonstrate the graphing procedure. P(x) = 2x^{2}-10x+12 Q(x) = x^{2}-5x+4 Therefore,2x^{2}-10x+12 f(x) = ----------- x^{2}-5x+4We could start off by creating a large table of x and f(x) values, but this would be a lot of work,
and some subtle features could be missed. Instead, we will analyze various characteristics of the function. Procedure
2x^{2}-10x+12 2(x-2)(x-3) f(x) = ------------- = ----------- x^{2}-5x+4 (x-1)(x-4)
2x^{2} = 2 f(x) ==> ______________ x^{2}