A relation is a set of ordered pairs. Think of all the students in our class and think of their...

A relation is a set of ordered pairs.

Think of all the students in our class and think of their heights…

Pairing their name and their height is a relation.

2.1 Relations & Functions

The set of all the starting points is called the domain, and

The set of all the ending points is called the range.

The domain is what you start with; the range is what you end up with.

Domain vs. Range

All the ’s

All the ’s

Domain & Range

State the domain and range of each.1. {(1, 3), (3, -2), (6, 0), (2, 4)}

2.

Domain & Range

State the domain and range of each.3. 4.

A relation is any set of ordered pairs.

Functions vs. RelationsA function is a relations where each has at most 1 .

Foldable!Each student will receive a foldable.

Use your scissors to cut along the dotted lines.

You are ENCOURAGED to use highlighters, markers, and colored pencils in this foldable!!!

State the domain and range of each relation. Then determine whether each relation is a function.

Practice

1. 2.

State the domain and range of each relation. Then determine whether each relation is a function.

Practice

3. 4.

State the domain and range of each relation. Then determine whether each relation is a function.

Practice

5. 6.

State the domain and range of each relation. Then determine whether each relation is a function.

Practice

7.

8.

Function Notationis read “.”

The is the name of the function.

is not a variable that is multiplied by .

is read “.”

The is the name of the function.

Function Notation

The symbol replaces the in problems like…

𝒇 (𝒙 )=𝟑 𝒙−𝟓𝒚=𝟑 𝒙−𝟓 Normal Notation

Function Notation

Function Notation

For the function below find .

Function NotationFind each value for the function .

1.

2.

3.

You TryFind each value for the function .

1.

2.

3.

Function NotationFind each value if and .

1.

2.

3.

4.

5.

6.

HomeworkLesson 2.1 2.1 Worksheet