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IA_GPS_34

# IA_GPS_34 - Root function n x x f = where 2 n 1 Graph each...

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R0907 a.s. http://faculty.valenciacc.edu/ashaw/ INTERMEDIATE ALGEBRA GPS # 34 7.4 RADICAL FUNCTIONS NAME: Useful Guidelines: * Square Root and Cube Root: The cube root function is defined for all inputs, whereas the square root function is defined only for nonnegative inputs. * Square Root Property: If k is a nonnegative numbers and 2 x k = , then k x ± = . * Solve Equations with Cube Roots: The solution to the equation k x = 3 is 3 k x = . * Power function: p x x f = ) ( , where p is a rational number.
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Unformatted text preview: * Root function: n x x f = ) ( , where 2 ! n . 1. Graph each function. Give the domain and the range. a. ( ) f x x = b. ( ) 4 f x x = ! c. 3 ( ) f x x = d. 3 ( ) 4 f x x = + 2. Use the square root property to solve each equation and give the solution set. a) 2 49 x = b) 2 8 x ! = c) 2 ( 4) 25 x ! = d) 2 (2 5) 12 x ! = 3. Use the cube roots to solve each equation and give the solution set. a) 125 3 = x b) 81 ) 1 ( 3 3 = ! y...
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