Algebra II
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2-1 Relations and Functions Guided Notes
Terminology
• Ordered pair:
•
Relation:
•
Domain:
•
Range:
Functions
• A function is a special type of relation in which
•
One-to-one function: a function where each element
Example 1: State the relation shown in the graph. Then list the domain and range. Is the
relation a function?
•
Relation:
•
Domain:
•
Range:
•
Function???
You try! State the relation shown in the graph. Then list the domain and range. Is the relation a
function?
Relation:
Domain:
Range:
Function???
Vertical Line Test
•
When given a graph of a relation, one can perform a vertical line test to determine
•
If you drop in vertical lines, and they DO NOT intersect the graph in more than one
point, then
•
If they DO intersect the graph in more than one point, then
Example 2: Use the vertical line test to determine if the relation is a function.
Function Notation
Example 3
You Try!! 