AS/A2 Pure 1 Pure 2

P3 Topic 1: Algebra
Rational functions 6
The graph of the above rational function is shown. Investigate the effect of changing a or b.

Summary When b is negative there are two vertical asymptotes When b=0 the curve is a vertical stretch of the basic reciprocal curve y=1/x When b is positive the curve continuous with no undefined points Changing a has the effect of stretching the curve vertically Based on free Java applets from JavaMath