G3notes - Supplementary Course Module G: Exponentials and...

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Supplementary Course Module G: Exponentials and Logarithms Since the value of a x x 2 R , this means x ! a x is a function, typically called the exponential function base a , and denoted f ( x ) = a x or f ( x ) = exp a ( x ) . the inverse function of f ( x ) = exp a ( x ) to be the logarithm function base a , and denote it g ( x ) = log a ( x ) . Below, we have summarized key properties of both the exponential and logarithm functions, as well as power and root functions. Being able to recognize and understand the different properties of power and exponential functions is important when studying the calculus of such functions. Power and Root Functions: General form: f ( x ) = x n and f ( x ) = n p x = x 1 =n , n 6 = 0 ! the variable is (part of) the base of the expression ! the domain, range and end behaviour depends on the value of
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This note was uploaded on 11/25/2010 for the course MATH MA110 taught by Professor Hu during the Fall '10 term at Wilfred Laurier University .

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G3notes - Supplementary Course Module G: Exponentials and...

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