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Mathematics 8 Online
OpenStudy (anonymous):

Is this a function ? { (-3,-6) , (-1,-6) , (5,-6) , (8,-6) }

OpenStudy (solomonzelman):

your y values are all same, and x values are the ones that differ. That means it is a horizontal line.

OpenStudy (solomonzelman):

Is horizontal line a function?

OpenStudy (anonymous):

yes ? Isn't any straight line a function ?

OpenStudy (solomonzelman):

Yes, it is a function. No a vertical line is not a function.

OpenStudy (solomonzelman):

Well, it is not an explicit function.

OpenStudy (solomonzelman):

(Also, vertical line has no slope. )

OpenStudy (anonymous):

THX !

OpenStudy (solomonzelman):

yw

OpenStudy (anonymous):

http://www.mathsisfun.com/sets/function.html I love Google

OpenStudy (anonymous):

me too ^_^

OpenStudy (solomonzelman):

i think it is a missing a couple of things, but isn't a bad source.

OpenStudy (solomonzelman):

As far as a relation goes in your case (which is called a "discrete" function, since it is just a set of points that aren't connected together on the graph), for it to be a function, you just need the x-values not to repeat more than 1s.

OpenStudy (solomonzelman):

As regards to other functions (those that are connected as a graph, as opposed to a set of points). For a function to be explicit, you also have to not have the same x value more than once. |dw:1422575563344:dw| For a function to be "one to one" your y values and your x values shouldn't repeat more than once.|dw:1422575601972:dw|

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