General Mathematics
Relations and Functions
Function - relation in which each element in the domain matches exactly one element in the range.
All functions are relations but not all relations are functions.
Relations - rule that relates value from a set of values (called the domain) to a second set of values
(called the range). The elements of the domain can be imagined as input to a machine that applies a
rule to these inputs to generate one or more outputs. A relation is also a set of ordered pairs.
Functions - relation where each element in the domain is related to only one value in the range by
some rule.
Function
Not Function
โ One to one relation
โ Many to one relation
โ One to many relation
โ Many to many relation
Piecewise Functions
โ Like a rulebook. It is a combination of 2 or more functions/formulas.
โ Intervalโno overlapping
โ
๐(๐ฅ) = { 10 ๐๐๐ ๐๐ ๐๐ 0 < ๐ฅ โค 12
13 ๐๐๐ ๐๐ ๐๐ ๐ฅ > 12
