Web Results

en.wikipedia.org/wiki/Asymptote

In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity. Some sources include the requirement that the curve may not cross the line infinitely often, but this is unusual for modern authors. In some ...

www.mathsisfun.com/algebra/asymptote.html

Asymptote. An asymptote is a line that a curve approaches, as it heads towards infinity: Asymptote. Types. There are three types: horizontal, vertical and oblique: Asymptote Types. The direction can also be negative: asymptote negative infinity. The curve can approach from any side (such as from above or below for a ...

Asymptotes are more like lines which a function (graph) never reaches (though it usually comes close). If you consider the function f(x) = 3/x, obviously x can never be 0, because then f(x) would equal 3/0, which is undefined. Therefore, the asymptote is a line. The equation of the asymptote (line) would be x = 3, a vertical line ...

mathworld.wolfram.com/Asymptote.html

Asymptote. DOWNLOAD Mathematica Notebook · EXPLORE THIS TOPIC IN the MathWorld Classroom Asymptote. An asymptote is a line or curve that approaches a given curve arbitrarily closely, as illustrated in the above diagram. AsymptotesOneOverX. The plot above shows 1/x , which has a vertical asymptote at x=0 ...

www.purplemath.com/modules/asymtote2.htm

Uses worked examples to explain how to find horizontal asymptotes. Explains how functions and their graphs get "close" to horizontal asymptotes, and shows how to use exponents on the numerators and denominators of rational functions to quickly and easily determine horizontal asymptotes.

www.purplemath.com/modules/asymtote4.htm

Purplemath. So far, we've dealt with each type of asymptote separately, kind of like your textbook probably does, giving one section in the chapter to each type. But on the test, the questions won't specify which type you need to find. In general , you will be given a rational (fractional) function, and you will need to find the ...

www.purplemath.com/modules/asymtote.htm

Uses worked examples to demonstrate how to find vertical asymptotes. Stresses the relation between vertical asymptotes and the domain of the function.

www.softschools.com/math/calculus/finding_horizontal_asymptotes_of_rational_functions

Remember that an asymptote is a line that the graph of a function approaches but never touches. Rational functions contain asymptotes, as seen in this example: In this example, there is a vertical asymptote at x = 3 and a horizontal asymptote at y = 1. The curves approach these asymptotes but never cross them.