One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions. They then look at one-to-one correspondence and inverse functions using sets of ordered pairs.

Concepts

one-to-one correspondence, inverse, inverse functions, inverses, functions, horizontal line, ordered pairs

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Additional Tags

math

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Instructional Ideas

• Lead a discussion on why the horizontal line test can be used to determine whether a function is one-to-one
• Have class members create function tables that are invertible

Classroom Considerations

• Requires signing up for a free login account to access the CK-12 interactive

Pros

• Provides feedback for some of the challenge questions about the correct answer
• Contains other examples and problems in the additional materials

Cons

• None

Common Core

HSF-BF.B.4.a HSF-BF.B.4.b HSF-BF.B.4.c HSF-BF.B.4.d HSF-BF.B.5