a= where bottom = 0 but does not cancel
hole= where bottom = 0 and cancels out
A vertical asymptote has a graph where there are two lines that move toward each other but never cross a certain x. This is what makes them vertical. It is like a half-life, it keeps halving, becoming smaller, never quite hitting its zero, the x. A hole is the same expect that there is a second x, one where there is a hole, a gap, a skip in the graph.
In terms of the equations, both asymptotes and holes are equations in which the bottom is equal to 0. The difference is, asymptotes are simply where the bottom equals zero while holes are where the bottom equals 0 and the top can cancel with part of the bottom. (̶x̶+̶1̶0̶)̶ / (x-10)(̶x̶+̶1̶0̶)̶
In this case, x=-10 is the hole and x=10 is the asymptote.
hole= where bottom = 0 and cancels out
A vertical asymptote has a graph where there are two lines that move toward each other but never cross a certain x. This is what makes them vertical. It is like a half-life, it keeps halving, becoming smaller, never quite hitting its zero, the x. A hole is the same expect that there is a second x, one where there is a hole, a gap, a skip in the graph.
In terms of the equations, both asymptotes and holes are equations in which the bottom is equal to 0. The difference is, asymptotes are simply where the bottom equals zero while holes are where the bottom equals 0 and the top can cancel with part of the bottom. (̶x̶+̶1̶0̶)̶ / (x-10)(̶x̶+̶1̶0̶)̶
In this case, x=-10 is the hole and x=10 is the asymptote.