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Relation
- a rule that relates values from a set of values to another set of values.
Domain
-
first
set of values
Range
-
second
set of values
Relation
- is a set of ordered pairs (
x
,y).
Function - a relation where each element in the domain is related to only
one
value in the range by some
rule.
A
function
is a set of ordered pairs (x,y) such that no two ordered pairs have the same x-values but different
y-values
Using functional notation,
f
(
x
)
=
f(x)=
f
(
x
)
=
y
y
y
is read as "
f of
x
is equal to y
"
Vertical Line
Test - A graph represents a function if and only if each vertical line intersects the graph at most
once.
The
Domain
of
a
relation
is the set of all possible values that the
variable
x
can take
Composite
Function - A function that
depends
on another
function
Function Composition
- The process of obtaining a
composite
function.
IDENTIFY THE
DOMAIN
:
y
=
y =
y
=
2
x
+
2x +
2
x
+
1
1
1
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