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FUNCTIONS
Prepared: Sir Ymbhon Gatmaitan

LEARNING COMPETENCIES:
Distinguishes functions from
relations
Illustrates functions/relations using
arrow diagram, ordered pairs, table
of values, graphs, equations, and
real-life situations.

FUNCTION:
A function is defined as a relation where
each element in the domain is related to
ONLY ONE value in the range by some rule.

RELATION:
It is a rule that relates values from a set of
values (called the domain) to a second set
of values (called the range). A relation is
set of ordered pairs.

ORDERED PAIR:
An ordered pair is a pair of numbers
written in a particular order,
(x, y)
Domain/Input Range/Output

EXAMPLE:
A= {(1 ,3), (2, 4), (-1, 0)}
Domain: { 1, 2,-1 }
Range: { 3, 4,0 }

EXAMPLE:
A= {(1 ,2), (3, 5), (-1, 1), (2, 0)}
B= {(3,-1), (4, 2), (3,5 ), (1, 6)}
TIP: Simply look at the value of “x”. If the
elements of the domain are used only once
(no same x-values), then the given set of
ordered pairs is a function.

A= {(1 ,2), (3, 5), (-1, 1), (2, 0)}
B= {(3,-1), (4, 2), (3,5 ), (1, 6)}
Which of the following is a Function?
Function
Not Function

IMPORTANT
CONCEPT
A relation is a function if each x-
coordinate (input) is related or paired to
exactly one y-coordinate (output).
Using a functional notation, a function is
written as f(x)=y

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