Relation or Function

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

What is a function?

Back

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

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 using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, then the relation is not a function.

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 is associated with two different outputs.

Front

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

Back

A function is one-to-one if each output value is associated with exactly one input value.

Front

What is an example of a one-to-one function?

Back

The function f(x) = 2x is one-to-one because each input x produces a unique output.

Front

What is a mapping diagram?

Back

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

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.