Function vs Nonfunction

Front

What is the set of x-coordinates of the ordered pairs of a relation called?

Back

Domain

Front

What is a function?

Back

A relation where each x value has exactly one y value.

Front

What is a non-function?

Back

A relation where at least one x value has more than one y value.

Front

How can you tell if a table represents a function?

Back

Check if any x value repeats with different y values.

Front

What is the vertical line test?

Back

A method to determine if a graph is a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What does it mean for a relation to be one-to-one?

Back

Each x value corresponds to a unique y value and vice versa.

Front

What is the range of a relation?

Back

The set of all y-coordinates of the ordered pairs.

Front

If an x value repeats in a relation, what does that indicate?

Back

It may indicate that the relation is not a function if it has different y values.

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function.

Front

What is an example of a non-function?

Back

The relation {(1, 2), (1, 3), (2, 4)} is a non-function because x=1 has two different y values.