## Quick Reference

If part of a graph is unbounded and there is a fixed straight line *l* such that the distance from a point *P* on the graph to *l* tends to 0 as *OP* → ∞, where *O* is the origin, then *l* is an asymptote to the curve. Alternatively, it is the limiting position of the tangent to the graph at *P*, as *OP* → ∞. For example, the asymptotes of the graph of are *y*=2*x*+3 and *x*=2.

**Asymptote.** The dotted lines are the asymptotes (vertical, *x*=2; oblique, *y*=2*x*+3) of the graph *y*=2*x*+3- 1/x-2.

**From:**
asymptote
in
A Dictionary of Statistics »

*Subjects:*
Probability and Statistics.