UC11A-1.2 - Math 11A - Calculus w/ Applications I Text:...

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Math 11A - Calculus w/ Applications I Text: Neuhauser, , 2nd edition Calculus for Biology and Medicine 1.2 Elementary Functions 1.2.1 What is a function? Definition: a is a rule that assigns each element in a set (called function BE the ) exactly one element in the set (the ). The domain codomain CF image range of is denoted ; the of is in }. B Cœ0 B 0œÖ0 BlB E ab Note: two functions are equal IFF (if and only if) 1. and have the same domain. 01 2. for all in the domain. 0B œ1B B example: for a. b. 0 B œ #B  ' B − Ò!ß &Ó B − example: and 0B œB 1B œ B È # Definition: a function is: if ; if even odd 0Bœ0B 0Bœ 0B Þ a b a b Definition: the of functions is denoted for composition 0 ‰ 1 B œ 0 1ÐBÑ a b each in the domain of for which is in the domain of . B1 1 B 0 example: ; 0 B œ B# 1 B œB * È # Basic functions: 1.2.2 Polynomial functions -- of form + + B+ B ÞÞÞ+ B !" # 8 #8 1.2.3 Rational functions -- of form where and are 0B œ : ; :B ;B polynomials, and .
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This note was uploaded on 07/24/2009 for the course MATH 11A taught by Professor Migliore during the Winter '06 term at University of California, Santa Cruz.

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UC11A-1.2 - Math 11A - Calculus w/ Applications I Text:...

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