Math 1300
Section 2.6 Notes
1
Functions and Domains:
Definition:
A relation
in mathematics is a set of one or more ordered pairs.
It can
be described by:
1.
A set of ordered pairs: {(3, 1), (2, 1), (1, 1), (1, 3), (3, 1), (3, 2), (0, 3)}
2.
Graphs:
3
2
1
0
1
2
3
3
2
1
0
1
2
3
Y
X
3.
Tables:
4.
Mappings:
X
Y
3
1
2
1
1
1
1
3
3
1
3
2
0
3
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Section 2.6 Notes
2
Definition
:
The ______________
of a relation is the set of all the first elements
(the
x
values or
x
coordinates) in the ordered pairs.
Definition:
The ______________
of a relation is the set of all the second elements
(the
y
values or
y
coordinates) in the ordered pairs.
Definition:
A __________________
is a special relation in which each element,
x
,
of the domain is paired with
exactly (only) one
element, called
f
(
x
), of the range.
One way to test a relation to see if it is a function is by using the vertical line test.
Definition:
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 Spring '08
 Staff
 Math, Continuous function

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