13112an1.20-23

13112an1.20-23 - c Kendra Kilmer January 4, 2012 Section...

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c c Kendra Kilmer January 4, 2012 Section 1.6 - Inverse Functions and Logarithms Definition: A function f is said to be if each range value corresponds to exactly one domain value. Horizontal Line Test: If every horizontal line intersects the graph of a function f in no more than one place, then f is a one-to-one function. Example 1: Which of the following functions are one-to-one? Definition: If f is a one-to-one function with domain A and range B , then its inverse function f 1 has domain B and range A and is defined by f 1 ( y ) = x f ( x ) = y for any y in B . Thus, if ( a , b ) is a point on the graph of f , then ( b , a ) is a point on the graph of f 1 . Thus, if f is one-to-one, then the graph of its inverse, f 1 , is a reflection about the line y = x . Example 2: If f is a one-to-one function and f ( 5 ) = 7 and f ( 3 ) = 4, find a) f 1 ( 7 ) b) f ( f 1 ( 4 )) How to Find the Inverse Function of a One-to-One Function f 1. Write y = f ( x ) .
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13112an1.20-23 - c Kendra Kilmer January 4, 2012 Section...

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