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Mathematics 12 Online
OpenStudy (anonymous):

How do I find holes in graph? For example if the graph has a hole at x=2 and how would it look?

OpenStudy (anonymous):

Holes are where the function is undefined.

OpenStudy (anonymous):

When you come to the point of x=2, lets say y =2 and the equation is x=y. |dw:1340337895355:dw|

OpenStudy (anonymous):

@Abs.Zero, there should be no lines where the hole is.

OpenStudy (anonymous):

Is there an eraser on there? :\ sorry I'm new here

OpenStudy (anonymous):

Unfortunately not. :p Here's a hole: http://en.wikipedia.org/wiki/File:Discontinuity_removable.eps.png

OpenStudy (anonymous):

it basically comes about from functions like this \[\huge f(x)=\frac{(x-2)(x+1))}{x-2} \] this function is defined everywhere except at x=2 but, the function curiously looks very much like the line y=x+1..... ie, if there is a factor that can be cancelled from the top and bottom, that will give you a hole...

OpenStudy (anonymous):

Thanks for your helps everyone!

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