2.1 Represent Relations and Functions Objective: Represent relations and graph linear functions.
1.9.12 functions/relations
Transcript of 1.9.12 functions/relations
Bell WorkJan. 9, 2012
1. How many solutions are there for ?
2. Fill in the green boxes in the following table:
Write the answers in your composition book, labeling the top of the page with the date.
RelationBrainstorm
A relation is a set of related information
Example:A list of names of people in our class and their heights
Name Height
A relation could also look like this:
A relation could also look like this:
Because the relation has we can graph it
two types of information, on a coordinate plane.
If all relations that exist were represented by this pentagon...
RELATIONS
If all relations that exist were represented by this pentagon...
...then this circle represents all the possible functions. Every function is a relation.
RELATIONS
FUNCTIONS
Functions are "well-behaved" relations. To be a function, a relation has to follow one rule:
Each x-value must relate to 1 and only 1 y-value.
x y
1 2
2 3
3 3
4 5
FUNCTION
x y
1 2
2 3
2 4
4 5
NOT A FUNCTION
Quick Poll:Is this relation a
function?
Quick Poll:Is this relation a
function?
In dating relationships, what is one thing that someone could do that would lead most people to break up immediately?
FunctionalRelationships
Picture a world where in dating relationships, guys can only date one girl, but girls can date as many guys as they want.
A Function is like this. ·Guys are x-values·Girls are y-values·Domain: all x-values, or guys, in a relation·Range: all y-values, or girls, in a relation
As a class, we are going to create a set of functional relationships according to this rule.
FunctionalRelationships