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>). | ||
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+ | In other words, for every x value, there should only be one y value. | ||
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[[Category:Functions]] | [[Category:Functions]] |
Revision as of 13:02, 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, is a function because any vertical line intersects it in, at most, one point, while is not a function (try the line ).
In other words, for every x value, there should only be one y value.
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