How do I find a vertical asymptote?
You have vertical asymptotes when the function is undefined. Ask yourself this: when is this function undefined? You’ll see that this is undefined only when the denominator is 0. So, take the denominator of the function, set it equal to 0 and find the x values that solve it. These will be the x values on the original function where you will have vertical asymptotes. EDIT: Ah yes, the answer above me has is more correct. if you can factor something out from both the numerator and the denominator, you will not have an asymptote, you would have a discontinuity at that point, but it would not affect the shape of the graph.