Domain and Range

What we’ve been doing: What is the Domain and Range of the following: {(1, 3), ( 2, 4), (5, 6)}

http://www.youtube.com/watch?v=doBlzFLsGv4 Domain and Range with all notations Domain and Range from graph pencil

But domain and range can also be determined from a graph

Continuous Relations Continuous Relations are relations that are not just a set of points but are lines or curves that have infinitely many points.

Domain: Using an AND Inequality Find the left most Point, and the right Most point. Then x is between those two points.

When a graph of a relation extends forever left to right, then the Domain is ALL REAL NUMBERS

Domain When there is a “hole” or the graph is in two parts, we can use an or statement for the domain.

Range on a Continuous Relation The Range is the y-values. Another way to think about this is the HEIGHT of a graph. We can also find the range as a inequality and not just a list of points.

Range: Using an AND Inequality Find the Lowest and Highest point Then y is between those two values

Range: Using an OR Inequality We can use an or inequality when the graph is in two parts.

Range: All Real Numbers A graph of a relation extends forever above and below, then the Range is ALL REAL NUMBERS