Function or Not Function

Front

What is a function?

Back

A relation where every input has exactly one output.

Front

What is the definition of 'Not a Function'?

Back

A relation where at least one input has more than one output.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line crosses the graph more than once, it is not a function.

Front

What does it mean for a relation to be a function in terms of ordered pairs?

Back

In a set of ordered pairs, no two pairs can have the same first element (x-value) with different second elements (y-values).

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function because each x-value has one unique y-value.

Front

What is an example of 'Not a Function'?

Back

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

Front

What is a mapping diagram?

Back

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

Front

What is the significance of the x-values in a function?

Back

Each x-value must be unique in a function; no x-value can map to more than one y-value.

Front

What is the significance of the y-values in a function?

Back

A y-value can be repeated in a function, but it must correspond to only one x-value.

Front

What is the vertical line test?

Back

A method to determine if a graph is a function by checking if a vertical line intersects the graph at more than one point.