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Answer true or false. All functions are relations.

   Answer true or false. All functions are relations.

College Algebra Essentials

College Algebra Essentials

Julie Miller 1st Edition

Chapter 2, Problem 20

Instant Answer

Solved by Expert Luke P

08/14/2021

Step 1

A function is a special type of relation where each input (or 'x' value) has exactly one output (or 'y' value). This means that for every 'x', there is a unique 'y' that is paired with it. Show more…

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Answer true or false. All functions are relations.

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Key Concepts

Mathematical Relation

A mathematical relation is any subset of the Cartesian product of two sets, representing a set of ordered pairs. It establishes a relationship between elements of two sets without requiring each element in the first set to be associated with exactly one element in the second set.

Mathematical Function

A mathematical function is a special type of relation where every element in the domain is associated with exactly one element in the codomain. This uniqueness property distinguishes functions from general relations, as not all relations meet this criterion.

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