1. Lesson 4.1 Relations and Functions
Describe Relations
A relation is a set of ordered pairs (x,y) where x is the input
value and y is the output value.
The domain is the set of all possible inputs for the relation.
The range is the set of all possible outputs for the relation.
Consider the relation: { (5,2), (4,1), (3,0), (2,5), (7, 4),
(4,3).
2. Lesson 4.1 Relations and Functions
Identify Functions
A function is a relation in which every domain
value corresponds to exactly one range value.
3. Lesson 4.1 Relations and Functions
Identify Functions
When a relation is graphed, you can use the vertical
line test to determine if the relation is a function.
According to the vertical line test, a relation is a
function if and only if no vertical line passes through two
or more points on the graph.