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Created by

Christian Angelo Lira
Christian Angelo Lira
Philippines

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by Christian Angelo Lira
1

A relation in mathematics is simply any collection of ordered pairs, connecting elements from a first set (the domain) to a second set (the range).

2

The set of ordered pairs {(3, 4), (5, 7), (3, 9)} represents a relation where the element 3 from the domain is related to both 4 and 9 in the range.

3

In an arrow diagram, the domain is represented by the oval or set of elements where the arrows end.

4

If an arrow diagram shows the relation {(A, 1), (B, 2), (C, 3)}, the range is {A, B, C}.

5

If an arrow diagram shows that the element 'red' is mapped to 'apple' and 'cherry', then the element 'red' is in the range of the relation.

6

A relation is a function if every element in the domain has exactly one arrow leaving it in an arrow diagram.

7

An arrow diagram that shows a single element in the domain having arrows pointing to three different elements in the range represents a function.

8

If an arrow diagram represents the ordered pairs {(6, 1), (8, 2), (6, 3)}, then this relation is a function.

9

An arrow diagram with domain {2, 4, 6} and range {5, 10} that shows 2 → 5, 4 → 10, and 6 → 5 can be converted into the set of ordered pairs {(5, 2), (10, 4), (5, 6)}.

10

If a relation has domain {T} and range {V}, and every T points to V in an arrow diagram, does the set of ordered pairs include every element of T?

 
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