Vertical Line Test

Front

What is the Vertical Line Test?

Back

A method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph is not a function.

Front

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

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

How can you tell if a graph is a function using the Vertical Line Test?

Back

If a vertical line drawn anywhere on the graph intersects it at more than one point, then the graph is not a function.

Front

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

Back

No, because the input 1 has two different outputs (2 and 3).

Front

Is the relation {(2,3), (3,4), (2,5)} a function?

Back

No, because the input 2 has two different outputs (3 and 5).

Front

Is the relation {(4,5), (5,6), (6,7)} a function?

Back

Yes, because each input has exactly one output.

Front

What is an example of a function?

Back

The relation {(1,2), (2,3), (3,4)} is a function because each input has one output.

Front

What is an example of a non-function?

Back

The relation {(1,2), (1,3)} is not a function because the input 1 has two outputs.

Front

If a graph passes the Vertical Line Test, what can we conclude?

Back

We can conclude that the graph represents a function.

Front

What happens if a vertical line intersects a graph at two points?

Back

The graph does not represent a function.