COLLEGE ALGEBRA 2.2- Introduction to Relations Day One

Do Now: Determine the Domain and Range of the following two graphs in BOTH notations

Homework? Questions? Comments? Confusions? ASK ASK ASK ASK!

Yesterday We looked at domain and range. Today? Let’s determine the domain and range and other aspects of relations!

So… First? Relation: A set of ordered pairs Ex:

However Relations can be expressed in four different ways- 1. A list of coordinate points 2. A Table 3. A Graph 4. A Mapping Diagram

Example One: Express the relation {(1,1), (0,2), (3, -2)} as a table and a graph. What’s the domain and range of the relation? XY

Mapping Mapping: A diagram that illustrates how each x coordinate is paired with a y coordinate. Example:

Example One (Continued) Mapping of {(1,1), (0,2), (3, -2)}

Example Two: Given the following mapping diagram, determine the graph, table, and list of coordinate points of the relation. What is the domain? Range?

Example Three: Given the graph of a relation, determine the mapping diagram, table, list of coordinate points, domain and range.

Example Four: Given the table, determine the mapping diagram, graph, list of coordinate points, domain and range of the relation.

You Try! For each of the given relations determine the missing pieces: Graph Mapping Diagram List of Coordinate points Table Domain Range

Graphs for You Try!

Practice Problems Try some on your own/in your table groups As always don’t hesitate to ask me questions if you are confused and/or ask your table mates. As we always know– they are your greatest resource!

Exit Ticket Create a mapping diagram and table for the following relation: {(0,0), (1,3), (4,2), (3, 1)}