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Master Math: Algebra 2 by Mary Hansen

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Chapter 4Relations and Functions

4.1 Definitions

4.2 Function Notation

4.3 Piecewise Functions

4.4 Parent Functions and Transformations

4.5 Algebra of Functions

4.6 Inverse Functions

4.1 Definitions

In the first three chapters, you solved and graphed equations. Those equations, along with any set of ordered pairs, can be classified as relations. Some relations are also functions.

Relation

A relation is a set of input and output values. Relations might be shown as a set of ordered pairs, a mapping diagram, a graph, or an equation. Figure 4.1 shows five examples of relations. Relation (b) is a mapping diagram that shows the inputs in the left column and the outputs in the right column, and represents the ordered pairs (–3, 0), (2, 1), (4, 2) and ...

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