Science Fair Project Encyclopedia
Horizontal line test
In mathematics, the horizontal line test is a test used to determine if a function is injective, surjective or bijective.
Suppose there is a function f : X → Y with a graph., and you have a horizontal line of X x Y :
.
- If the function is injective, then it can be visualized as one whose graph is never intersected by any horizontal line more than once.
- Iff f is surjective any line will intersect the graph at least at one point
- iff f is bijective any line will intersect the graph at exactly one point.
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10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details