Differences Concept Relations and Functions

Imagine a function as a machine, such as a calculating machine. It takes a number (input), then the function of processing the incoming number and its output is called output.

Each number (x) inserted is then connected to a single number as the output, but it can also be that some different input values give the same output value.

A. Relations

Definition of Relationship in Math

The relation of two sets A and B is the installation of A members with B members.

Example of Relations

If :
A = {2, 3, 6}
B = {2, 4, 6, 8, 10, 11}

The relation of set A to B is "factor of". The following is the relation form from A to B in the arrow diagram:

In relation from set A to B, set A is called Domain (result areas), while set B is called Kodomain (friend area) and all members that get pair from A are called Range (result areas)

B. Function

Definition of Function

F function f is a relation that connects each member of x in a set called a domain with a single value f(x) of a second set called a kodomain region.

To name a function is used a single letter like, f, g, and other letters. Then f(x), which reads "f from x" denotes the value given by f to x. For example:
f (x) = x² + 2, then f (3) = 3² + 2.

Example of Function

Which of the following relation is a function, if relation from A to B ?

Answer :

The first relation is a function, since every member of domain A is single relation to the member of codomain B.
The second relation is not a function, because there is a member of domain A that is not single relation to member of the number of B's
The third relation is not a function, because there is a member of domain A that is not related to the member of codomain B

Differences of Relations and Functions

So it can be concluded that a function is a relation, while a relation is not necessarily a function.

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