Challenge your classes to think between the curves. Given two function formed by the combination of two exponential functions, individuals must write three functions in which all values would lie between the given. The question is open-ended, allowing for various solution methods.

Concepts

exponential functions, basic operations, functions, graphing functions

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Additional Tags

math

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Instructional Ideas

• Repeat the lesson with different types of functions to make comparisons
• Provide additional requirements for pupils to meet when writing functions

Classroom Considerations

• Provide graphing calculators or comparable software

Pros

• Includes a document with a sample answer
• Adaptable to different levels of instruction

Cons

• None

Common Core

HSF-IF.C.7.a