Identify Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has 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?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one x-value is paired with multiple y-values.

Front

What is an example of a function?

Back

The relation {(1,2), (2,3), (3,4)} is a function because each x-value has one y-value.

Front

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

Back

The relation {(1,2), (1,3), (2,4)} is not a function because the x-value 1 has two y-values.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.

Front

What is the vertical line test?

Back

The vertical line test is 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

What is a one-to-one function?

Back

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