Rational functions – asymptotes of the graph

MathematicsFunctions & GraphsAges 17–18

For y = (ax + b)/(cx + d) or y = (ax² + bx + c)/(x + d), drag the coefficients to see the vertical, horizontal and oblique asymptotes appear or disappear. Value tables as x approaches the denominator's root and as x goes to infinity show why each line really is an asymptote.