Difference between revisions of "Asymptotes"

Latest revision as of 09:50, 20 February 2016

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-An asymptote is a line that a curve approaches as it moves closer to infinity. Very commonly the asymptotes of a graph are the <math>x</math> and <math>y</math> axes.
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-There are three types of asymptotes: horizontal, vertical, and oblique. The x-axis is a horizontal asymptote, the y-axis is a vertical one, while oblique asymptotes are basically diagonal lines in a plane.
-The distance between a curve and an asymptote approaches <math>0</math> as they head towards infinity. The graph of a horizontal asymptote is given as <math>x = a</math>, while the graph of a vertical asymptote is given as <math>y = b</math>. Oblique asymptotes are given by the slope-intercept equation, <math>y = mx + b</math>.