We find the appropriate place to plot the hole by first factoring the equation and breaking it down as much as possible. Once you find a number or variable that is in common on both the numerator and denominator then you cancel them and they are holes of the graph. After you find the holes then you plug each of the holes into the equation that is left after simplifying as much as possible and what you get as your answer will be part of the point. So if x=0 you plug that into the equation and your answer will be (0, #) as well as the other hole and you will find your points and find the holes in the graph. To check that those are holes you plug the equation into the graphing calculator and trace that number and it shouldn't give a number for y.
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