Relations and Functions

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

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

How can you determine if a table represents a function?

Back

Check if each input (x-value) corresponds to only one output (y-value).

Front

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

Back

It means that at least one input is associated with more than one output.

Front

What is the vertical line test?

Back

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

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function because each input has one output.

Front

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

Back

The relation {(1, 2), (1, 3)} is not a function because the input '1' has two different outputs.

Front

What is a mapping diagram?

Back

A visual representation of a function that shows how each input is paired with an output.

Front

What is the domain of a function?

Back

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