# Mathematics Glossaries

This is my notes but not of my own.

# Functions

**Relation**: A set of ordered pairs.`{(x1,y1), (x2,y2)}`

such that`{}`

is a relation.**Domain**: The set consisting of the first components of each ordered pair is called the domain.`{(x,y)}`

such that`x`

is a domain.**Range**: The set consisting of the second components of each ordered pair is called the range.`{ (x,y) }`

such that`y`

is a range.**Input value (Independent variable)**: Each value in the domain is also known as an input value, or independent variable, and is often labeled with the lowercase letter`x`

. The input values make up the domain.**Output value( Dependent variable)**: Each value in the range is also known as an output value, or dependent variable, and is often labeled lowercase letter`y`

. The output values make up the range.**Function**: A function`f`

is a relation that assigns a single element in the range to each element in the domain. In other words, no x-values are repeated. A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.”