The easiest way to find vertical assymptotes is to graph the function, and look for "invisible" vertical lines which never seem to be crossed over.
If graphing isn't an option, you can do it by looking at the function. Because vertical assymptotes exist when a certain value for x is impossible, look for parts of the formula where it breaks if x is a a certain value. The most common example would be division by 0.
\(\frac{1}{x-1}\)
If x is equal to 1, the demoninator of the fraction would be 0, which makes the fraction impossible. There would therefore be an assymptote at x=1.
The easiest way to find vertical assymptotes is to graph the function, and look for "invisible" vertical lines which never seem to be crossed over.
If graphing isn't an option, you can do it by looking at the function. Because vertical assymptotes exist when a certain value for x is impossible, look for parts of the formula where it breaks if x is a a certain value. The most common example would be division by 0.
\(\frac{1}{x-1}\)
If x is equal to 1, the demoninator of the fraction would be 0, which makes the fraction impossible. There would therefore be an assymptote at x=1.