Handbook of mathematics for engineers and scienteists part 5

This function is defined for all x e (-1. 1). and its range consists of all y. The arctanh x is an odd, nonperiodic. unbounded function that crosses the coordinate axes at the origin x = 0, y = 0. This is an increasing function in its domain with no points ofextremum and an inflection point at the origin. It has two vertical asymptotes: x = ±1. The graph of the function y = arctanh x is given in Fig. 2.20.