# Power Function with Positive Fractional Exponent

Consider function y=x^r, where r is positive irreducible fraction.

Properties of this function are following:

1. Domain is interval [0,+oo).
2. Function is neither even, nor odd.
3. Function is increasing on interval [0,+oo).

On the left figure is drawn graph of the function y=x^(5/2). It is located between graphs of the function y=x^2 and y=x^3, defined on interval [0,+oo). Similar form has any graph of the function y=x^r, where r>1.

On the right figure is draw graph of the function y=x^(2/3). Similar form has any graph of the function y=x^r, where 0<r<1.