Function or Relation

Front

What is a function?

Back

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

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can include multiple outputs for a single input.

Front

Which of the following is NOT a function? {(1,-5), (-1,6), (1,5), (6,-3)}

Back

This relation is NOT a function because the input 1 has two different outputs (-5 and 5).

Front

What is the range of a function?

Back

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

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

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 has two outputs for one input?

Back

It means the relation is not a function.

Front

Identify the function: {(0,1), (1,2), (2,3), (3,4)} or {(0,2), (1,3), (4,3), (1,2)}

Back

The first relation {(0,1), (1,2), (2,3), (3,4)} is a function because each x-value is unique.

Front

What is an example of a function?

Back

An example of a function is {(1,2), (2,3), (3,4)}.

Front

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

Back

An example is {(1,2), (1,3), (2,4)} because the input 1 has two outputs.