+ 7.2 The Real nth Roots of a Number. + 1. How many values in the domain of f are paired with the value in the range? That is, how many x values satisfy.

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Presentation transcript:

+ 7.2 The Real nth Roots of a Number

+ 1. How many values in the domain of f are paired with the value in the range? That is, how many x values satisfy the equation ?

+ 2. How many values in the domain of g are paired with the value in the range? That is, how many solutions are there of the equation ?

+ 3. How many values in the domain of h are paired with the value in the range? That is, how many solutions are there of the equation ?

+ Definition: Each solution of the equation, for n a positive integer, is called an. Thus, 3 and -3 are the 2 nd roots (or square roots) of 9, and -2 is the 3 rd (or cube) root of -8. nth root of b

+

+ Solve over the real numbers. 4.5.

+ The symbol is called a ; b is called the and n the. We say this as the nth root of b. if n is odd if n is even radical radicand index

+ Find all real values for which the statement is true. 6.7.