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

How can you tell if a relation is a function?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

What is the Vertical Line Test?

Back

The Vertical Line Test states that if a vertical line intersects a graph at more than one point, the graph is not a function.

Front

What does it mean if a graph passes the Vertical Line Test?

Back

If a graph passes the Vertical Line Test, it means that for every x-value, there is only one corresponding y-value, indicating it is a function.

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

Can a set of ordered pairs be a function?

Back

Yes, a set of ordered pairs can be a function if no x-value is repeated with different y-values.

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can represent a function or not.

Front

What does it mean if a table represents a function?

Back

If a table represents a function, it means that each input (x-value) corresponds to exactly one output (y-value).

Front

What is the definition of a non-function?

Back

A non-function is a relation where at least one x-value is associated with more than one y-value.

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.