CA_GPS_27 - COLLEGE ALGEBRA GPS # 27 NAME: _ 3.2...

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Rev. S08 http://faculty.valenciacc.edu/ashaw/ COLLEGE ALGEBRA NAME: ________________________________ GPS # 27 3.2 LOGARITHMIC FUNCTIONS I Class Time: ____________ Date: __________ Useful Guidelines: * The logarithmic function to the base a , where 0 > a and 1 ! a : y = log a ( x ) if and only if y a x = ; * Properties of the logarithmic Function y = log a ( x ) (where 0 > a and 1 ! a ): (1) Domain: the interval ) , 0 ( ! ; Range: the interval ) , ( ! "! ; (2) x -intercepts: 1; y -intercept: none; (3) Vertical asymptote: 0 = x ; (4) f ( x ) = log a ( x ), a > 1 , is an increasing, one-to-one, smooth and continuous function; f ( x ) = log a ( x ),0 < a < 1 , is a decreasing, one-to-one, smooth and continuous function; (5) The points ), 1 , ( ), 0 , 1 ( a and ) 1 , ( 1 ! a are always on the graph of f . * Natural logarithmic function:
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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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