A function is a set of ordered pairs (x,y) where each x has only one y associated with it.
Non-Function
x y
0 1
1 2
1 3
2 4
Function
x y
0 2
1 4
2 6
3 8
x y
0 1
1 2
1 2
2 3
3 4
**This is a function because x only has one y associated with it.
Relation:Simply a set of ordered pairs. (x,y) coordinate pairs.
**Everything is a relation, some few collect things are a function.
Can be a function, but doesn't have to be. If it is a function, it can be a relationship.
A relation can be a non-function.
Family example: Mrs.O'Toole has a relation with her daughter and son. It is a family relationship.
Mrs.O'Toole has a relation with Lauren, but with her family it is a special relation.
Question: Is every Linear Relationship a function?
yes? no? Justify it mathematically.
NO
Line of best fit.
vertical lines. x=4
