anonymous
  • anonymous
How do you find horizontal and vertical asymptotes? I know that for Horizontal I must find the left and right limits of infinity but I'm not sure about vertical asymptotes.
Mathematics
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anonymous
  • anonymous
How do you find horizontal and vertical asymptotes? I know that for Horizontal I must find the left and right limits of infinity but I'm not sure about vertical asymptotes.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
for rational functions like \(\large f(x)=\frac{g(x)}{h(x)} \), it's what makes g(x) = 0...
anonymous
  • anonymous
*** sorry, h(x) = 0
richyw
  • richyw
alright well if you have a rational function. you get a vertical asymptote if the denominator is zero

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richyw
  • richyw
or like what dpalnc said in a better way
richyw
  • richyw
so usually in elementary calculus you just have some polynomal, then you just gotta factor it and find the roots of the polynomial
richyw
  • richyw
or a trig function or something
anonymous
  • anonymous
Ohh okay thanks for the help, I appreciate it. Also for the polynomial, when I find the roots , how are those included in my graph?
phi
  • phi
if you have y = f(x) then the roots tell you were y=0 it is where the curve crosses the x-axis
anonymous
  • anonymous
in addition to the rational function i mentioned, g(x) and h(x) must be relatively prime.....
anonymous
  • anonymous
Oh I get it now, thanks a lot!

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