Difference between revisions of "Vertical line test"
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For example, <math>y=x^2</math> is a function because any vertical line intersects it in, at most, one point, while <math>x^2+y^2=1</math> is not a function (try the line <math>x=0</math>). | For example, <math>y=x^2</math> is a function because any vertical line intersects it in, at most, one point, while <math>x^2+y^2=1</math> is not a function (try the line <math>x=0</math>). | ||
| + | {{stub}} | ||
| + | [[Category:Algorithms]] | ||
| + | [[Category:Elementary algebra]] | ||
| + | [[Category:Functions]] | ||
Revision as of 19:14, 24 January 2008
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, 
is a function because any vertical line intersects it in, at most, one point, while 
is not a function (try the line 
).
This article is a stub. Help us out by expanding it.
