Difference between revisions of "Vertical line test"

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The '''vertical line test''' is a way of determining if a plotted [[graph]] is a [[function]].
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The '''vertical line test''' is a way of determining if a plotted [[graph of a function | graph]] is a [[function]].
  
 
The vertical line test states that:
 
The vertical line test states that:

Revision as of 11:06, 15 October 2006

The vertical line test is a way of determining if a plotted graph is a function.

The vertical line test states that:

A relation is a function iff no vertical line intersects the graph in more than one point.

This is because a function cannot have more than one output for one input.


For example, $y=x^2$ is a function because any vertical line intersects it in, at most, one point, while $x^2+y^2=1$ is not a function (try the line $x=0$).