Q: In geometry what is an asymptote?

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No. If it cuts a graph it is not an asymptote.

It has no asymptote. 3x is a straight line and therefore is a tangent to itself.

It will have the same asymptote. One can derive a vertical asymptote from the denominator of a function. There is an asymptote at a value of x where the denominator equals 0. Therefore the 3 would go in the numerator when distributed and would have no effect as to where the vertical asymptote lies. So that would be true.

I don't know, what?

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A circle does not have an asymptote.

Asymptote Architecture was created in 1989.

No. If it cuts a graph it is not an asymptote.

No if the denominators cancel each other out there is no asymptote

An asymptote is a line or curve that approaches a given curve arbitrarily closely.

It has no asymptote. 3x is a straight line and therefore is a tangent to itself.

It will have the same asymptote. One can derive a vertical asymptote from the denominator of a function. There is an asymptote at a value of x where the denominator equals 0. Therefore the 3 would go in the numerator when distributed and would have no effect as to where the vertical asymptote lies. So that would be true.

2

I don't know, what?

Asymptote - vector graphics language - was created in 2004.

Yes, the asymptote is x = 0. In order for logarithmic equation to have an asymptote, the value inside log must be 0. Then, 5x = 0 → x = 0.

Considering an asymptote as a tangent to the curve "at infinity", the asymptote is the straight line itself.