AS/A2 Pure 4 Pure 6

P5 Topic 2: Hyperbolic functions
Graphs and properties: tanh ax
Change the value of a and describe the geometric symmetry of the curve.

Summary tanh ax is an example of an odd function, ie., f(-x) = -f(x). The curve has rotational symmetry about the origin. There is a point of inflexion at the origin Based on free Java applets from JavaMath