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Unformatted text preview: c circlecopyrt Kendra Kilmer January 20, 2009 Section 2.5 - Logarithmic Functions 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, then the of f is the function formed by interchanging the independent and dependent variables for f . Thus, if ( a , b ) is a point on the graph of f , then ( b , a ) is a point on the graph of the inverse of f . Example 2: Find the inverse of y = 6 x + 5. 17 c circlecopyrt Kendra Kilmer January 20, 2009 Definition: The inverse of an exponential function ( y = b x ) is called a logarithmic function . For b > 0 and b negationslash = 1, y = log b x b y = x Example 3: Solve for x , y , or b without a calculator....
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This note was uploaded on 03/27/2012 for the course MATH 142 taught by Professor Drost during the Fall '08 term at Texas A&M.
- Fall '08
- Logarithmic Functions