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Functions Defined by Powers and Roots

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) =

 


 
 

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