Difference between revisions of "Vertical line test"
(hm) |
|||
(6 intermediate revisions by 5 users not shown) | |||
Line 1: | Line 1: | ||
− | 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}} | {{stub}} | ||
− | [[Category: | + | [[Category:Algebra]] |
− | |||
[[Category:Functions]] | [[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.
This article is a stub. Help us out by expanding it.