Thursday, September 27, 2012

Unit G #6: Holes with an undefined y-value

6.  How do we find the appropriate place to plot a hole if the y-value is undefined when plugged into the original equation?

To plot a hole, the x-value that was crossed off would be plugged in to the simplified equation to get the y-value.  If the number of the y-value ends up being #/0, it would be undefined.  This would make the ordered pair have no y-value leading to the conclusion that there is no hole.
For example, if the equation is (x+1)/(x-1) and x=1 (from solving the cancelled factor), the y-value of the ordered pair would be 2/0.  2/0 is undefined meaning there is no hole!

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