1. 2.1 Domain and Range

2. Vocabulary
Relation – A relation is a general term for any set of ordered pairs.
Function – A function is a special type of relation in which each member of the domain is paired with exactly one member of the range.
Domain – The domain is the set of all
x-coordinates in a set of ordered pairs.
Range – The range is the set of all
y-coordinates in a set of ordered pairs.

3. Name the Domain and Range
The following set of ordered pairs has a limited number of points.
Ex:{(2,3),(-1,0),(2,-5),(0,-3)}
Domain:
Range:
*If a number occurs more than once, you do not need to list it more than one time.

4. Name the Domain and Range From a Graph
The set of ordered pairs may be an infinite number of points as described
by a graph.
Domain:{all real numbers}
Range:{y:y≥0}

5. Find the Domain and Range
The set of ordered pairs may be an infinite number of points as described by an equation.
Find the domain and range of
What limits do we have for x? x - 5 must be a positive value so x – 5 > 0.
What limits do we have for y? Square roots are always positive.
Domain:
Range:

6. Find the Domain and Range of the Following Sets of Ordered Pairs
{(3,7),(-3,7),(7,-2),(-8,-5)} 3. 4.
D: {-8,-3,3,7} R: {-5,-2,7}
D: {All Reals} R: {y > -4}
D: {x: x 0} R: {y: y 0}
D: {x: x > 3} R: {All Reals}