# Set Theory - Function (Mathematical)

A function in set theory is known as a mathematical function.

It is a relation between sets that associates:

• every element of the first set
• to exactly one element of the second set.

Duplicate ! Linear Algebra - Function (Set)

## Syntax

$$y = f(x)$$

## Physical Structure

A function is uniquely represented by the set of all pairs (ie a map) (x, f (x))

## Visualization

A function is represented graphically by the graph of the function

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