Relations: Domain, Range, & Functions

Front

What is a function?

Back

A function is a relation where each input (domain) has exactly one output (range).

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 two ordered pairs have the same first element (x-value).

Front

Given the relation {(1, 2), (2, 3), (3, 4)}, what is the domain?

Back

The domain is {1, 2, 3}.

Front

Given the relation {(1, 2), (1, 3), (2, 4)}, is it a function?

Back

No, it is not a function because the input '1' has two different outputs.

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.

Front

How many ordered pairs are in the relation {(2, 3), (4, 5), (6, 7), (8, 9)}?

Back

There are 4 ordered pairs.

Front

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

Back

A one-to-one function is a function where each output is paired with exactly one input.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the domain and range of a function.