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Unformatted text preview: § 12.2 Inverse Functions MartinGay, Beginning and Intermediate Algebra, 4ed 2 OnetoOne Functions We have studied functions, which are defined to require that each element of the domain (input values) produce a unique element of the range (output values). 11 functions also require that each element of the range be produced from only one element of the domain. each x ⇒ only one y : is a function each y ⇐ only one x : is a 11 function MartinGay, Beginning and Intermediate Algebra, 4ed 3 Determine whether each function described is one toone. r = {(1, 2), (3, 4), (5, 6), (6, 7)} It is 1to1, since the 2 nd coordinate is unique. g = {(0, 3), (3, 7), (6, 7), ( – 2, – 2)} It is not 1to1, since the second coordinate, 7, is produced from two different domain elements, both 3 and 6. OnetoOne Functions Example: MartinGay, Beginning and Intermediate Algebra, 4ed 4 We found previously that the graph of a function must satisfy the Vertical Line Test....
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This note was uploaded on 11/04/2011 for the course MATH 103 taught by Professor Alraban during the Fall '10 term at Montgomery College.
 Fall '10
 Alraban
 Math, Inverse Functions

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