AS/A2 Pure 1 Pure 2

P3 Topic 1: Algebra
Rational functions 3
The graph of the above rational function is shown. Investigate the effect of changing a, b, c or d. For example, make a=-1, c=2 and d=1, and watch how the curve changes as b varies between 0 and 3.

Summary There are asymptotes at x=c and x=d The curve crosses the x-axis at x=a and x=b When a=c and b=d the curve is simply y=1 Based on free Java applets from JavaMath