Function y=root(n)(x)

When n is even, function y=root(n)(x) has same properties as y=sqrt(x). Graph of then function y=root(n)(x) resembles graph of the function y=sqrt(x). When |x|<1 the bigger n, the further graph from the x-axis. When |x|>1 the bigger n, the close graph to the x-axis (see left figure).

When n is odd, function y=root(n)(x) has same properties as y=root(3)(x). Graph of then function y=root(n)(x) resembles graph of the function y=root(3)(x). When |x|<1 the bigger n, the further graph from the x-axis. When |x|>1 the bigger n, the close graph to the x-axis (see righ figure).