Relations, Functions, Domain and Range

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

What does it mean if a relation is not a function?

Back

It means that at least one x-value is associated with more than one y-value.

Front

What is an example of a function?

Back

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

Front

What is an example of a relation that is not a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is 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.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.