CA_GPS_15 - Label at least three points on the graph. a) !...

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Rev. S08 http://faculty.valenciacc.edu/ashaw/ COLLEGE ALGEBRA NAME: ________________________________ GPS # 15 2.3 A LIBRARY OF FUNCTIONS Class Time: ____________ Date: __________ Library of Functions: Square Function: 2 ) ( x x f = Square Root Function: 2 1 ) ( x x x f = = Cube Function: 3 ) ( x x f = Cube Root Function: 3 1 3 ) ( x x x f = = Power Function: n x x f = ) ( , 0 ! n Root Function: n x x x f n 1 ) ( = = , 2 ! n Absolute Value Function: x x f = ) ( Reciprocal Function: x x f 1 ) ( = When functions are defined by more than one equation, they are called piecewise-defined functions . 1. Sketch the graph of the following piecewise-defined functions.
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Unformatted text preview: Label at least three points on the graph. a) ! " ! # $ % < & ’ < = 2 , 4 2 , , ) ( 2 x x x x x x f b) ! " ! # $ < % = , 1 , ) ( x x x x x f 2. Give the piecewise-defined function for the following graph? 3. The function f is defined as ! " ! # $ % < & + < ’ = 1 , 1 , 2 , 1 ) ( 2 x x x x x x f (a) Find ) ( f , ) 2 ( ! f , and ) 3 ( f . (b) Determine the domain of f . (c) Graph f . (d) Use the graph to find the range of f ....
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This note was uploaded on 10/18/2011 for the course MAC 1105 taught by Professor Russel during the Summer '07 term at Valencia.

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