The document discusses relations and functions. It defines a relation as a set of ordered pairs and provides examples of relations between sets A and B. It then discusses several ways to represent Cartesian products between sets, including Cartesian diagrams, sagittal diagrams, tree diagrams, and crosstabs. Each method visually depicts the ordered pairs between sets.

1. Relations and
functions
Nicolas Nevarez

2. Relations
Whether we can say that a
relation is a set of ordered
pairs.
If a and b are any two sets, r
is a ratio of a to b if and only
if r is a subset of a * b
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3. EXAMPLES
(0;4)(0;6)
A*B=(2;4)(2;6)
(4;4) (4;6)
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4. CARTESIAN
PRODUCT FORMS
There are several ways to
represent the Cartesian
product, I will explain several
ways:
Cartesian product
Cartesian diagram
sagittal diagram
Tree Diagram
Crosstab

5. So I show better
Second
component
(X;Y)
First
component

6. Cartesian diagram
This is one of the
simplest there. You
just have to locate
ordered pairs in the
Cartesian plane

7. Demonstration

8. Sagittal
diagram
This is also a very
simple way to represent
the ordered pairs is
when the set is
represented in
geometric and it is
distinguished by the
ordered pairs

9. Demonstration

10. Crosstab
• En este gráfico se
representan los pares
ordenados en cuadro en el
que los primeros dígitos van
hacia abajo y los segundos
van abajo

11. Demonstration