goes to infinity, the curve eventually levels out and follows the line. 3. Oblique (Slant) Asymptotes
) of a function becomes very large or very small, the graph of the function settles into a straight-line path. This path is the asymptote. The Three Main Types 1. Vertical Asymptotes These occur when the function’s output ( ) heads toward positive or negative infinity as approaches a specific value. Definition of Asymptotes
When a graph doesn't settle into a horizontal line but instead follows a diagonal path as it goes to infinity, it has an oblique asymptote. goes to infinity, the curve eventually levels out
This occurs in rational functions when the degree of the numerator is exactly one higher than the degree of the denominator. Why Do They Matter? This path is the asymptote
In geometry and calculus, an is a line that a curve approaches but never quite touches or crosses as it moves toward infinity. Think of it as a "boundary line" or a visual guide that dictates the behavior of a function at its most extreme values. The Core Concept
Unlike vertical asymptotes, a curve can cross a horizontal asymptote in the middle of the graph. However, as
