John was graphing a function and noticed that at certain points, the graph reaches invisible lines the graph will never cross. Explain to John what the two types of invisible lines are and how to predict them. You may create your own example to aid in your reasoning. Use complete sentences.

I know they are vertical and horizontal asymptotes I just don't remember how to identify them. Help?

Question

John was graphing a function and noticed that at certain points, the graph reaches invisible lines the graph will never cross. Explain to John what the two types of invisible lines are and how to predict them. You may create your own example to aid in your reasoning. Use complete sentences.

I know they are vertical and horizontal asymptotes I just don't remember how to identify them. Help?

misty1212 · Answer

HI!

misty1212 · Answer

vertical asymptotes where the denominator is equal to zero
like if you had 
$$f(x)=\frac{x}{x-1}$$ there would be a vertical asymptote at $x=1$`

misty1212 · Answer

the geniuses at FLVS seem to think that a curve cannot cross its horizontal asymptote, which is silly but that is the other kind

misty1212 · Answer

for the horizontal ones  it is what happens when x goes to minus infinity or to infinity 
for those you can tell by the degrees of the numerator and denominator
if the denominator is bigger it will be $$y=0$$ like if you had 
$$f(x)=\frac{x}{x^2-4}$$ i

anonymous · Answer

Thank you so much :) That helps a lot