1. Domain and Range

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

3.
Domain and Range with all notations
Domain and Range from graph pencil

4. But domain and range can also be determined from a graph

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

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

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

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

9. 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.

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

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

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