A simple question sometimes is the best for discussion. High schoolers compare a logarithmic and exponential function and composite them into one another. They graph and compare the difference between the domains. The solution contains commentary to help with the discovery of the different domains. 

Concepts

logarithmic functions, exponential functions, inverse functions, inverses, composite functions

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Additional Tags

math

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Instructional Ideas

• Break the class into two groups and have each one graph a different composite graph to compare

Classroom Considerations

• Learners should know how to composite functions before attempting the problem

Pros

• Great way to introduce the outcome of composite inverse functions and compare graphs

Cons

• None

Common Core

HSF-BF.B.4.b