Section 2.6 - Graphs of Rational Functions

Essential Question(s): 

Explain the characteristics (form, asymptotes, limits, transformations) of rational functions

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Follow these three steps to complete this "flip" lesson.

STEP 1: Preparation 
Title your spiral with the heading above and copy the essential question(s).

STEP 2: Vocabulary & Examples 
Copy and define the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed. Review the following examples and copy what is necessary for you. Use the guiding questions for your cornell notes.

Rational Functions (pages 237-238)

• What is a rational function?
• Review How are vertical and horizontal asymptotes defined? (top page 238)
• Review how to find the domain of a rational function (Ex 1)

Transformations of the Reciprocal Functions (pages 238-239)

• Review the basic reciprocal function.
• How can a reciprocal function be transformed? (Ex 2)

Limits and Asymptotes (pages 239-241)

• What are the features of the graph of a rational function?
• Review how to find asymptotes of rational function. (Ex 3)
• What is a slant asymptote?
• How do you graph a rational function with a slant asymptote? (Ex 4)
  

Analyzing Graphs of Rational Functions (pages 241-244)

• Review how to find asymptotes of rational function. (Ex 5 & 6)
• How do you find an end-behavior asymptote? (Ex 7)
• How do you analyze a rational function with an end-behavior asymptote? (Ex 8)

STEP 3: Reading
Read the following page(s) and take any extra notes as needed.

• Read pages 237-244.
• Make sure to read the paragraphs between the examples.