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Relations and Functions Quiz

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Questions and Answers

Which of the following best describes a relation in mathematics?

A set of values of the independent variable associated with values of the dependent variable.

A set of numbers that are related to each other.

A set of ordered pairs arranged in an orderly manner. (correct)

A set of objects grouped together that may or may not represent a pattern.

Which of the following is an example of a relation?

Fr. Nolan's association with schools of clusters 5 and 6. (correct)

A student and their favorite color.

A teacher and their students.

All of the above.

Which type of relation is characterized by each value of the independent variable being unique and associated with a unique value of the dependent variable?

One-to-one correspondence. (correct)

Many-to-one correspondence.

One-to-many correspondence.

None of the above.

Which type of relation is characterized by two or more values of the independent variable being associated with the same value of the dependent variable?

<p>Many-to-one correspondence.</p> Signup and view all the answers

Which type of relation is characterized by some values of the independent variable being associated with more than one value of the dependent variable?

<p>One-to-many correspondence.</p> Signup and view all the answers

Study Notes

Relations in Mathematics

A relation in mathematics is a way of showing a connection or correspondence between two sets of values.

Examples of Relations

An example of a relation is a set of ordered pairs, such as {(1, 2), (2, 3), (3, 4)}, where each element of one set corresponds to an element of the other set.

Types of Relations

One-to-One (Injective) Relation

A one-to-one relation is characterized by each value of the independent variable being unique and associated with a unique value of the dependent variable.

Many-to-One Relation

A many-to-one relation is characterized by two or more values of the independent variable being associated with the same value of the dependent variable.

One-to-Many Relation

A one-to-many relation is characterized by some values of the independent variable being associated with more than one value of the dependent variable.

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Description

Test your knowledge on relations and functions in mathematics with this quiz. Learn what a relation is and how it is represented by a set of ordered pairs. Challenge yourself with examples and see if you can identify relations in different scenarios.