How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard form of the function, their patterns give a range of values of the a, b, and c values that result in each type of solution.

Concepts

absolute value functions, absolute value, absolute value equations, systems of equations

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Additional Tags

math

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Instructional Ideas

• Begin with a review of transformations of absolute value functions
• Incorporate during a lesson on nonlinear systems of equations

Classroom Considerations

• Learners must already be familiar with the graph of the absolute value function

Pros

• Answer key offers various solution methods
• Provides the documents in an editable format

Cons

• None

Common Core

HSF-IF.B.4