## 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. one year ago one year ago

1. dpaInc Group Title

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

2. dpaInc Group Title

*** sorry, h(x) = 0

3. richyw Group Title

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

4. richyw Group Title

or like what dpalnc said in a better way

5. richyw Group Title

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 Group Title

or a trig function or something

7. CalculusHelp Group Title

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 Group Title

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 Group Title

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

10. CalculusHelp Group Title

Oh I get it now, thanks a lot!