Relations & Functions

Relations & Functions

A couple categories of equations.

Vocabulary

• Function- a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

• Relation - collection of ordered pairs containing one object from each set.

Relations & Functions

The function map to the right illustrates how a function is a unique type of relation.

Multiple Choice

In a function every input has exactly one output. The input is the domain, what is the output called?

• Product

• Range

• Difference

• Sum

Vertical Line Test

To determine if a graph is a function, you can use what is called a vertical line test.

Draw or imagine a vertical line through the graphed equation and if that line crosses the graphed equation more than once the graphed equation is not a function.

Open Ended

Describe the vertical line test in your own words.