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Algebra two honors 7

chapter 7 vocabulary

nth root of a for an interger n greater than1, if b^n=a then b is an nth root of a written as ^n√a
index the interger n(greater than 1) in the expression ^n√a
simplest form A radical expression after you apply the properties of radicals, remove any perfect nth powers and rationalize any denominators
like radicals two radical expressions that have the same index and the same radicand
power function a function of the form y=ax^b where a is a real number and b is a rational number
composition the composition of the function f with the function g is h(x)=f(g(x)) The domain of h is the set of all x-values such that x is the domain of g and g(x) is in the domain of f
inverse relation a relation that maps the output values of an original input values. The graph of an inverse relation is the reflection of the graph of the original relation, with y=x as the line of reflection
inverse function A relation and its inverse relation whenever both relations are functions. Functions f and g are inverses of each other provided f(g(x)) and g(f(x))
radical function A function that contains a radical, such as y=√x or y=^3√x
extraneous solution a solution of a transformed equation that is not a valid solution of the original equation