Ep 31. Graphing Rational Functions, Part 2

In Algebra I season 1 episode 31, "Graphing Rational Functions, Part 2," students will continue their exploration of rational functions and their graphing. In this episode, they will build upon the concepts learned in the previous episode and take a deeper dive into graphing more complex rational functions.

The episode will begin with a review of the key concepts from the previous episode. Students will revisit the steps for graphing a rational function, including finding the vertical and horizontal asymptotes, identifying any holes in the graph, and sketching the curve. They will also review how to use the end behavior of the function to help identify its shape.

Next, the episode will introduce students to more complex rational functions. They will learn how to graph functions with multiple horizontal or vertical asymptotes, as well as functions with more than one hole in the graph. The episode will also cover how to graph rational functions with transformations, such as shifts, stretches, and reflections.

Throughout the episode, students will work through a variety of examples to help solidify their understanding of these concepts. They will see examples of functions with multiple asymptotes, functions with multiple holes, and functions with transformations. The episode will also include examples of real-world applications of rational functions, such as modeling population growth or the spread of a disease.

In addition to the examples, the episode will include interactive practice problems to help students further engage with the material. These problems will test their ability to apply the concepts they have learned to new situations.

By the end of the episode, students will have a deeper understanding of graphing rational functions. They will be able to identify the key features of a rational function and use that information to graph the function accurately. They will also be able to apply their knowledge to more complex functions and see how rational functions can be used to model real-world situations.

Overall, Algebra I season 1 episode 31, "Graphing Rational Functions, Part 2," is a valuable resource for any student studying algebra. It provides a thorough overview of rational functions and their graphing, and it gives students the tools they need to succeed in this important area of mathematics.