Function/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 graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each x-value corresponds to only one y-value.

Front

Give an example of a function using ordered pairs.

Back

Example: {(1, 2), (2, 3), (3, 4)} - Each x-value is unique.

Front

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

Back

Example: {(1, 2), (1, 3), (2, 4)} - The x-value '1' has two different y-values.

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph is a function by checking if a vertical line crosses the graph more than once.

Front

What happens if a table has duplicate x-values with different y-values?

Back

If a table has duplicate x-values with different y-values, it is not a function.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values).