### Video Summary:

f (x) = xp/q, p/q in lowest terms
if q is odd, the domain is all real numbers
if q is even, the domain is all nonnegative real numbers Power and Root Functions
A function f given by f (x) = xb, where b is a constant, is a power function. If , for some integer n 2, then f is a root function given by f (x) = x1/n, or equivalently, f (x) =