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)}, is it a function?

Back

Yes, it is a function because each x-value is unique.

Front

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

Back

No, it is not a function because the x-value '1' is associated with two different y-values.

Front

What is an ordered pair?

Back

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

Front

How do you find the range from a set of ordered pairs?

Back

To find the range, list all the unique y-values from the 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 associated 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.