Tuesday, September 25, 2012

Unit G Summary Question 7: Limit Notation for Vertical Asymptotes

7. Describe how to write limit notation for vertical asymptotes and what the notation means. 
Vertical asymptotes deal with factoring and simplifying the rational function on both the numerator and the denominator. Once you have factored out the function you then set the denominator equal to zero so that you are able to figure out which numbers you are going to use to find the limit notation. For example, say you have factored out the bottom and set the factor of x+1=0, this will leave you with x= -1. With this number you will write out the notation like this: as x -> -1(to the right), f(x)-> either positive or negative infinity and you would also use as x-> -1 (to the left), f(x)-> either pos. or neg. The positive or negative depends on how your graph is to the right of the boundary line of negative 1 and how it looks to the left side of it. The notation lets us know whether that graph is in a positive or negative direction. 



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