Differences Concept Relations Together With Functions

Imagine a business office every bit a machine, such every bit a calculating machine. It takes a pose out (input), together with hence the business office of processing the incoming pose out together with its output is called output.

Each pose out (x) inserted is together with hence connected to a unmarried pose out every bit the output, but it tin likewise survive that only about dissimilar input values rate the same output value.

A. Relations

Definition of Relationship inwards Math

The relation of 2 sets Influenza A virus subtype H5N1 together with B is the installation of Influenza A virus subtype H5N1 members alongside B members.

Example of Relations

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

The relation of gear upward Influenza A virus subtype H5N1 to B is "factor of". The next is the relation cast from Influenza A virus subtype H5N1 to B inwards the arrow diagram:

In relation from gear upward Influenza A virus subtype H5N1 to B, gear upward Influenza A virus subtype H5N1 is called Domain (result areas), land gear upward B is called Kodomain (friend area) together with all members that popular off yoke from Influenza A virus subtype H5N1 are called Range (result areas)

B. Function

Definition of Function

F business office f is a relation that connects each fellow member of x inwards a gear upward called a domain alongside a unmarried value f(x) of a bit gear upward called a kodomain region.

To refer a business office is used a unmarried missive of the alphabet like, f, g, together with other letters. Then f(x), which reads "f from x" denotes the value given past times f to x. For example:
f (x) = x² + 2, together with hence f (3) = 3² + 2.

Example of Function

Which of the next relation is a function, if relation from Influenza A virus subtype H5N1 to B ?

Answer :

• The source relation is a function, since every fellow member of domain Influenza A virus subtype H5N1 is unmarried relation to the fellow member of codomain B.
• The bit relation is non a function, because in that place is a fellow member of domain Influenza A virus subtype H5N1 that is non unmarried relation to fellow member of the pose out of B's
• The tertiary relation is non a function, because in that place is a fellow member of domain Influenza A virus subtype H5N1 that is non related to the fellow member of codomain B

Differences of Relations together with Functions

So it tin survive concluded that a business office is a relation, land a relation is non necessarily a function.

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Referensi :

• To'Ali's majority math grouping accounting together with sales