Precalculus — Functions
Rational functions & asymptotes
continues from lesson 4 — values defined earlier in the course stay live here
Divide polynomials and the graph grows asymptotes — lines the curve approaches but never touches. (x² − 1)/(x − 2) blows up vertically at x = 2, where the denominator hits zero:
vertical asymptote at x = 2 — the function is undefined there
Where next: Calculus 1 asks the question functions were built for — how fast is it changing right now?