A graph that has a hole is plotted with an open circle. A vertical asymptote is a vertical line. To find a vertical asymptote, you have to factor the numerator and denominator of the rational function and cross off any common factors. You set the denominator equal to zero and solve (by factoring) and you should get your equations. To find a hole, you have to set the crossed off common factors equal to zero, plug in the x-value (x) to the equation and you should get your y-value (y). This should be your point which you can use to plot (with an open circle).
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