Lesson Overview:

 

• Use sign diagram to estimate rational functions and then sketch it in a graphing paper

• Sketch rational functions

 

Part A: Use sign diagram to estimate rational functions and then sketch it in a graphing paper

This video teaches how to use a sign diagram to predict the graphs of rational functions:

https://www.youtube.com/watch?v=x1WG2lPHbqY&t=62s

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Examples:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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Part B: Sketch Rational Functions

This video teaches how to sketch rational functions:

https://www.youtube.com/watch?v=iw7oT4C0pwk&t=1228s

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Examples:

 

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SAT Testing of Rational Expressions and Equations

 

 

 

 

 

 

 

 

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Real World Application of Rational Functions

 

 

 

 

 

 

 

 

Conclusion:

After this lesson, students should be able to predict the shape of rational functions by using sign diagrams. After their predictions, they should be able to graph the functions on graph paper by following the basic rules learned. These skills can be used to predict the graph of rational functions when given the equation as shown in the example above.