DOMAIN AND RANGE Section 16.2. Functions Identify relations, domains, and ranges.

DOMAIN AND RANGE

Section 16.2

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 range of the relation.1. {(-3, 5), (-3, 1), (4, 6), (7,

0)}

2.

3.

4.

x 2 5 7 12

y 4 25 49144

YearBillions of

Dollars

2006 16.7

2007 20.3

2008 23.5

2009 26.6

2010 29.4

Domain: {-3, 4, 7}

Domain: {2006, 2007, 2008, 2009, 2010}

Domain: {2, 5, 7, 12}

Domain: {-2, 0, 1, 3}

Range: {5, 1, 6, 0}

Range: {4, 25, 49, 144}

Range: {16.7, 20.3, 23.5, 26.6, 29.4}

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”