The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to negative and back. 

Concepts

graphing rational functions, rational functions, asymptotes, vertical asymptote

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Additional Tags

math

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Instructional Ideas

• Play around with other key functions with the slider features

Classroom Considerations

• The worksheet does not have the capabilities to show the graphs so class members will need to use Desmos online or by the app and the slider feature to explore the problem

Pros

• Useful as a discussion activity to introduce the features of rational graphs

Cons

• Doesn't require pupils to calculate any math

Common Core

HSF-IF.C.7.d