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 Vertical Line Test?

Back

The Vertical Line Test is 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

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function?

Back

An example of a function is the relation {(1,2), (2,3), (3,4)}.

Front

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

Back

An example of a relation that is not a function is {(1,2), (1,3), (1,4)}.

Front

How can you tell if a table represents a function?

Back

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

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

What does it mean for a graph to be a function?

Back

A graph is a function if every vertical line drawn through the graph intersects it at most once.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function has at least one input with multiple outputs.