# Power Function with Negative 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 (0,+oo).

On the figure is shown graph of the function y=x^(-1/2). Similar for has graph of any function y=x^r, where r is negative fraction.