Function vs Non Function

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 a non-function?

Back

A non-function is a relation where at least one input (x-value) has more than one output (y-value).

Front

How can you determine if a set of ordered pairs is a function?

Back

Check if any x-value is repeated with different y-values. If it is, then it is not a function.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Give an example of a function using ordered pairs.

Back

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

Front

Give an example of a non-function using ordered pairs.

Back

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

Front

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

Back

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

Front

What is a mapping diagram?

Back

A visual representation of a function that shows how each input is paired with an output.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for the function.