Download Domain and Range

Section 16.2
DOMAIN AND RANGE
Functions
 Identify relations, domains, and ranges.
Identifying Relations, Domains, and Ranges
 A set of ordered pairs is called a relation.
 Could be a list of ordered pairs, a table of values, a graph, or an
equation
 The set of permissible x-values of the relation is the
domain.

The input of a relation.
 The set of permissible y-values of the relation is the
range.

The output of a relation.
Identifying Relations, Domains, and Ranges
 Find the domain and
Year
Billions of
Dollars
2006
16.7
2007
20.3
Domain: {-3, 4, 7}
2008
23.5
Range: {5, 1, 6, 0}
2009
26.6
2010
29.4
range of the relation.
1.
2.
3.
{(-3, 5), (-3, 1), (4, 6), (7, 0)}
Domain: {2006, 2007, 2008, 2009, 2010}
x
2
5
7
12
y
4
25
49
144
Range: {16.7, 20.3, 23.5, 26.6, 29.4}
4.
Domain: {2, 5, 7, 12}
Range: {4, 25, 49, 144}
Domain: {-2, 0, 1, 3}
Range: {-3, 1, 2}
Identifying Relations, Domains, and Ranges
 The previous represented discrete data.
 Individual points that would not be connected when graphed
because not all rational values define the domain.
 When the data is continuous, you must represent the
domain and range using interval notation.



Interval must be written smallest to biggest.
[ and ] used when the end point is included in the interval.
( and ) used when the end point is not included in the interval
or with -∞ and ∞.
Identifying Relations, Domains, and Ranges
 Find the domain of the
relation.
 Find the range of the
relation.
Identifying Relations, Domains, and Ranges
 Find the domain of the
relation.
 Find the range of the
relation.
Identifying Relations, Domains, and Ranges
 Find the domain of the
relation.
 Find the range of the
relation.
“hole”