What are the Steps for Finding Vertical Asymptotes in Polynomial Functions?

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Homework Help Overview

The discussion revolves around identifying vertical asymptotes in polynomial functions, with participants exploring methods for analyzing the function's behavior.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to find vertical asymptotes by dividing polynomials and factoring the denominator, expressing uncertainty about their approach. Other participants provide insights on factoring and checking for undefined values.

Discussion Status

Participants are actively engaging with the problem, with some offering clarification on factoring techniques and the importance of identifying when the function is undefined. There is a collaborative effort to refine understanding without reaching a definitive conclusion.

Contextual Notes

The original poster indicates difficulty with the factoring process and understanding the conditions for vertical asymptotes, suggesting a need for further exploration of these concepts.

rteng
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Alright, I know how to find the horizontal asymptotes

but the vertical asymptotes?

I tried dividing the polynomials but maybe I am not doing it correctly because I cannot get a normal answer...

and I am unsure how to factor the denominator.
 
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2x^3-4x^2-2x+4=2x^2(2x-4)-1(2x-4)

does that help you?
 
yes that makes more sense thanks

didn't consider that
 
and then just check to see what makes the function undefined
 

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