Algebra 2

1
Algebra 2
Relations and Functions
2
A set of ordered pairs
Relation

• Domain the set of all inputs (usually x)

Range the set of all outputs (usually y)
Function
A set of ordered pairs in which each input
has one and only one output
one and only one
3
Is the relation a function?

• (2,4),(3,6),(4,8)
• (2,4),(3,4),(4,4)
• (2,4),(2,6),(2,8)
• (2,5),(3,7),(4,9)

Can you name the equation for each?
4
Mappings
Colts Pirates Dodgers Orioles Yankees Twins
American League
National League
Domain
Range
5
Graphs
Does the graph pass the vertical line test?
6
Is the relation a function?
7
Evaluate the function

• f(x) 2x 3
• f(2)
• f(0)
• f(-3)

8
Evaluate the function

• f(x) 3 x
• f(2)
• f(-1)
• f(-3)

9
Evaluate the function

• f(x) - x2
• f(3)
• f(-2)