asymptotes

[cootcoot]

i forgot how to find an asymptote :uglystupid2:

whats the formula/way of finding it?

[Mao]

Verticle tangents:
find any and all discontinuities. this is usually a divide by zero:

has a verticle tangent at x=7, because then you'd get a divide-by-zero error. [that is not conclusive to say it is a verticle tangent, but for the purposes of MM, you do not encounter hole discontinuities, hence it generally is a verticle tangent. Other types may include jump discontinuities in cases of piecewise function, but you'll know when you see one.]

Horiz tangent: substitute in infinity and negative infinity:

has horizontal asymptote at y=2. As x get very large, the denominator get very large, and approximates zero. [same argument for negative infinity]. Hence the horiz. asymptote is 2.

[cootcoot]

ahh yes. terima kasih!

[bucket]

[that is not conclusive to say it is a verticle tangent, but for the purposes of MM, you do not encounter hole discontinuities, hence it generally is a verticle tangent. Other types may include jump discontinuities in cases of piecewise function, but you'll know when you see one.]

huhhh?
i'm curious lol.

[Mao]

=]