Rational Functions Teacher Resources

Extending his asymptotes lesson from the previous video, Sal shows viewers another example of graphing rational functions. This video is shorter than the previous one and could be shown in a single class session.

Through a mini assessment, students identify and list the vertical and horizontal asymptotes for the given rational functions and determine the type of asymptote of a given rational function. They also decide which form of a function...

In this college level Pre-Calculus activity students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts.  The three page activity contains forty problems.  Answers are provided. 

A rational function can be written as a ratio of two polynomials. There are a couple of rules concerning the denominator so watch this video and find out what they are.

Using this worksheet, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.

Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question. 

A rational function can be written as a ratio of two polynomials. There are a couple of rules concerning the denominator so watch this video and find out what they are.

Make a connection between rational expressions and rational functions. Pupils review simplifying and performing operations on rational expressions and recall what it means for two rational expressions to be equivalent based on their...

Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...

Put everything together in a picture. Scholars take what they learned in the previous three lessons in the 15th segment of a 23-part unit to graph rational functions. They find the end behavior, the horizontal and vertical asymptotes if...

Let's be rational about it. An instructive resource provides the definition of rational expressions and rational functions. Examples provide an explanation on how to determine excluded values from the domain. The resource continues to...

High schoolers factor rational expressions and identify the vertical asymptote of a rational function. They use the Ti to graph their function and factor polynomials. The lesson includes thorough scripting, procedures, and examples to...

High schoolers graph functions on their graphing calculators. They follow step-by-step directions to enter rational functions onto their calculators and then graph them. The worksheet includes nine questions.

Learners investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how the...

Mathematicians explore number values by completing a fraction activity in class. In this data graphing lesson, students identify the term rational function and practice converting them into graphs. Then they check their work with the...

For this rational functions worksheet, students find the vertical asymptotes of a given function and graph it on a coordinate plane.  They identify vertical and horizontal asymptotes.  This seven-page worksheet contains explanations,...

Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page worksheet contains...

Take your kids on a tour of graphing rational functions. Using this TI lesson, high schoolers identify the end behavior of their functions. They find the domain and range, describe end behavior, and look at asymptotes and restrictions of...