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Definition--Functions and Relations Concepts--Graphs of Relations
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Algebra >> Functions and Relations >> Relations and Functions

Definition--Functions and Relations Concepts--Graphs of Relations

Graphs of Relations

Graphs of Relations Image

Topic

Functions and Relations

Definition

Graphs of relations are visual representations of the relationship between two sets of values, not necessarily functions.

Description

Graphs of relations are important in mathematics for visualizing how two sets of values are related, even if the relationship does not form a function. These graphs help in identifying patterns and trends in data. For example, a scatter plot showing the relationship between hours studied and test scores is a graph of a relation. Graphs of relations are used in various fields, including statistics and social sciences, to analyze data and make predictions. Understanding graphs of relations is essential for interpreting data and for applying mathematical concepts to real-world problems. Note that the graph of a relation may not pass the vertical line test. For example, graphs of conic sections are graphs of quadratic relations and many of these graphs do not pass the vertical line test.

For a complete collection of terms related to functions and relations click on this link: Functions and Relations Collection

Common Core Standards CCSS.MATH.CONTENT.8.F.A.1, CCSS.MATH.CONTENT.8.F.B.5, CCSS.MATH.CONTENT.HSF.IF.A.1, CCSS.MATH.CONTENT.HSF.IF.A.2, CCSS.MATH.CONTENT.HSF.IF.C.7, CCSS.MATH.CONTENT.HSF.BF.A.1, CCSS.MATH.CONTENT.HSF.BF.B.3, CCSS.MATH.CONTENT.HSF.BF.B.4
Grade Range 6 - 9
Curriculum Nodes Algebra
    • Functions and Relations
        • Relations and Functions
Copyright Year 2013
Keywords definition, function, relations, glossary terms