Relation and Function Flashcards
Who introduced function?
Gottfried Wilhelm Leibniz
It is the rule that relates values from a set of values (domain) to a second set of values (range)
Relation
It is the input, independent variable, domain, abscissa
x
It is the output, dependent variable, range, ordinate
y
How can we express relation?
Set of Ordered Pairs
Mapping Diagram
Table of Values
Equation
Graph
Types of Relation
One to One
Many to One
One to Many
It is a relation where each element in the domain is related to only one value in range.
Function
Among the types of sets what is not function?
One to many, where domain is repeated
In graph, how to identify if it is function?
When it passed the vertical line test (the line will only go through in one point)
It is often in practical applications, the value of one quantity depends on the value of another.
Function Notation