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)` graph of the function y=rootn(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).