Function or not

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

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 is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written as (x, y).

Front

Is the set {(1, 2), (2, 3), (3, 4)} a function?

Back

Yes, it is a function because each x-value has a unique y-value.

Front

Is the set {(1, 2), (1, 3), (2, 4)} a function?

Back

No, it is not a function because the x-value 1 has two different y-values (2 and 3).

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 definition of a relation?

Back

A relation is a set of ordered pairs, which can represent a function or a non-function.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only 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.