Difference between revisions of "Vertical line test"

Revision as of 14:33, 3 July 2006

The vertical line test states that:

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

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 x=0).

Revision as of 11:45, 1 July 2006 (view source) Mathnerd314 (talk \| contribs) ← Older edit		Revision as of 14:33, 3 July 2006 (view source) Inscrutableroot (talk \| contribs) m (proofreading) Newer edit →
Line 3:		Line 3:
	A relation is a [[function]] [[iff]] no vertical line intersects the graph in more than one point.		A relation is a [[function]] [[iff]] no vertical line intersects the graph in more than one point.

−	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 x=0).	+	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 x=0).