OB--Identifying Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y value) for each input (x value).

Front

What are the x values in a function called?

Back

Inputs.

Front

What are the y values in a function called?

Back

Outputs.

Front

What is the domain of a function?

Back

The set of all possible input values (x values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y values) for the function.

Front

How can you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two pairs have the same x value with different y values.

Front

What does it mean for a relation to be a function?

Back

It means that each input is related to exactly one output.

Front

What is an example of a function?

Back

The relation {(1,2), (2,3), (3,4)} is a function because each x value is unique.

Front

What is an example of a non-function?

Back

The relation {(1,2), (1,3), (2,4)} is not a function because the x value 1 is related to two different y values.

Front

What is a vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.