Difference between revisions of "Vertical line test"
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− | The '''vertical line test''' is a way of determining | + | The '''vertical line test''' is a way of determining whether or not a plotted [[graph of a function|graph]] is a [[function]]. |
− | The vertical line test states that | + | The vertical line test states that a [[relation]] is a [[function]] if 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, <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>). | |
+ | In other words, for every x value, there should only be one y value. | ||
− | + | {{stub}} | |
+ | [[Category:Algebra]] | ||
+ | [[Category:Functions]] |
Latest revision as of 10:41, 27 April 2024
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 if 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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