Difference between revisions of "Vertical line test"

m
Line 10: Line 10:
  
 
{{stub}}
 
{{stub}}
[[Category:Algorithms]]
+
[[Category:Algebra]]
[[Category:Elementary algebra]]
 
 
[[Category:Functions]]
 
[[Category:Functions]]

Revision as of 12:02, 14 July 2021

The vertical line test is a way of determining whether or not 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 any 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 $x=0$).

In other words, for every x value, there should only be one y value.

This article is a stub. Help us out by expanding it.