Vertical Asymptote: why does fcn graph never cross it?

[aiwt]

Can someone please explain why a graph of a function can never cross it’s vertical asymptote?

 

[tkhunny]

Make sure you differentiate Relations from Functions, then read the definition of an asymptote.

http://en.wikipedia.org/wiki/Asymptote

Think about the Domain. Is the function even defined at the vertical asymptote?

 

[aiwt]

it's because a verticle asymptote is x=0, so the asymptotes are excluded from the range correct?

 

[stapel]

it's because a verticle asymptote is x=0, so the asymptotes are excluded from the range correct?

Um... what...?

Not all vertical (note spelling) asymptotes are at x = 0, so I'm not sure how that relates to the question at hand. It might be useful if you considered the definition you've been taught for "function", paying particular attention to the Vertical Line Test, and then think about how this would relate to vertical asymptotes and function graphs.

Eliz.