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Unformatted text preview: a h4 ig6 e k# 4 i b iC a aha 1.8 Problem 2 ( a ): This is not a function. If the input is n = 1 then the output is 1, which is two different values. ( b ): This is a function. For every integer n the value of n 2 + 1 is a single welldefined real number. ( c ): This is not a function from all of Z to R . Note that if n = 2 or n = 2 then f ( n ) is undefined. 1.8 Problem 8 ( a ): 1 . 1 = 1. ( b ): 1 . 1 = 2. ( c ): . 1 = 1. ( d ): . 1 = 0. ( e ): 2 . 99 = 3. ( f ): 2 . 99 = 2. ( g ): 1 2 + 1 2 = 1 2 + 1 = 3 2 = 1. ( h ): 1 2 + 1 2 + 1 2 = 0 + 1 + 1 2 = 3 2 = 2. 1.8 Problem 12 ( a ): f ( n ) = n 1 is onetoone, because if n negationslash = m then n 1 negationslash = m 1, and so f ( n ) negationslash = f ( m ). Thus different inputs produce different outputs....
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This note was uploaded on 07/12/2008 for the course MAT 243 taught by Professor Callahan during the Spring '06 term at ASU.
 Spring '06
 CALLAHAN

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