RELATIONS AND MAPPINGS

RELATIONS AND  MAPPING

Relations ;

Is a connection between members within one set or more than one set.

May also be called a defining condition.

1. Older than; Ismail is older than Arusha.
2. bigger than ; Babra is bigger than me.
3. less than; 2 is less than 9
4. younger than: Hellen is younger than Peace.

                A VIDEO ABOUT RELATIONS

1. Peter and Jesca

Peter is a brother to Jesca.

2. Number 18 and 9

18 is more than 9

Establish relation between members of family;

Jane , Jude , Jonah

Representing Relations.

Papygram

Is a diagram representing relation within members of a single set.

Mapping.

Is a diagram that represents relation between members in two different sets.

Example

Use an arrow diagram to show the relation factor of

Functions

A function is a special type of relation in which each element of the domain is paired with exactly one element in the range. A mapping shows how the elements are paired. Its like a flow chart for a function, showing the input and output values.

A mapping diagram consists of two parallel columns. The first column represents the domain of a function and the other column for its range. Lines or arrows are drawn from domain to range, to represent the relation between any two elements.

A function represented by the mapping above in which each element of the range is paired with exactly one element of the domain is called one-to-one mapping.

In the mapping, the second element of the range associates with more than one element in the domain. If the element(s) in range that have mapped more than one element in the domain is called many-to-one mapping.

In this mapping, the first element in the domain have mapped with more than one element in the range.

If one element in the domain mapped with more then one element in the range, the mapping is called one-to-many relation. One-to-many relations are not functions.

                  A VIDEO ABOUT MAPPING