Graph a function like 1/x and you will watch the curve race toward the axes without ever touching them — those invisible boundary lines are asymptotes, and they describe a function's behavior at the extremes. A vertical asymptote marks an x-value the function can never reach (usually where a denominator hits zero, like x = 0 for 1/x), a horizontal asymptote describes the value the function settles toward as x grows huge (y = 0 for 1/x), and a slant asymptote appears when the numerator outgrows the denominator by exactly one degree. Finding them is detective work: factor, cancel, compare degrees. Students meet asymptotes in precalculus rational functions, and they matter wherever models approach limits — population caps in biology, terminal velocity in physics, saturation in chemistry. This calculator assists with the underlying evaluation: enter your values in the Variable A and Variable B fields and read the Result. Remember that a graph can cross a horizontal asymptote in the middle; the asymptote only governs the far ends.

With the pre-filled defaults — Variable A 10, Variable B 5 — the Asymptote Calculator returns Result 50.0000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.