## CalculusHelp Group Title 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. 2 years ago 2 years ago

1. dpaInc

for rational functions like $$\large f(x)=\frac{g(x)}{h(x)}$$, it's what makes g(x) = 0...

2. dpaInc

*** sorry, h(x) = 0

3. richyw

alright well if you have a rational function. you get a vertical asymptote if the denominator is zero

4. richyw

or like what dpalnc said in a better way

5. richyw

so usually in elementary calculus you just have some polynomal, then you just gotta factor it and find the roots of the polynomial

6. richyw

or a trig function or something

7. CalculusHelp

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?

8. phi

if you have y = f(x) then the roots tell you were y=0 it is where the curve crosses the x-axis

9. dpaInc

in addition to the rational function i mentioned, g(x) and h(x) must be relatively prime.....

10. CalculusHelp

Oh I get it now, thanks a lot!