A1-U3.1 Lesson: Relations & Functions

Unit 3: Lesson 1a:
Relations and Functions

​Goal:

Students are going to be able to differentiate between mathematical relations and functions.

Bi-variable relationship, simple input, output equation.

​Relation

Relationship where every input "x" results in only one output "y".

​Function

Concepts:

All possible values of the output "y".

Range

All possible values of the input "x".

​Domain

Concepts:

Procedures:

1) Use the vertical line test to determine whether graphed equations are relations or functions.
2) Use the graph to find the domain (all values of "x"). Express as a inequality.
3) Use the graph to find the range (all values of "y"). Express as a inequality.

Is the graphed equation a function or relation?

What is the domain?

What is the range?

​Example 1:

Is the graphed equation a function or relation?

What is the domain?

What is the range?

​Example 2:

Is the graphed equation a function or relation?

What is the domain?

What is the range?

​Example 3: