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Definition: A symtaboote is a line or curve that passes through two points on the graph of a function. It is a point where the value of the function changes from positive to negative or vice versa, and it occurs at the intersection of the asymptotes. The asymptote represents the constant rate of change of the function as x approaches ±∞.
Definition: An asymptote is a line that a curve approaches but never actually touches. This concept is fundamental in mathematics and geometry, particularly in curves like circles, ellipses, parabolas, and hyperbolas. It's a key tool for understanding how two different functions intersect at specific points or what the behavior of a function looks like as its input values get very large or very small. In simpler terms, an asymptote is a line that is "too far away" from the curve it