hw8a - • Is the function surjective • If the function...

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Math 300A&B Introduction to Mathematical Reasoning Fall 2009 Assignment #8: Due Friday, 12/4/09 (NEW DUE DATE) Part I: 1. Eccles, pages 113–114, Exercises 9.1, 9.2, 9.4. 2. Eccles, page 118, Problem 18. 3. For each of the functions below, answer the following questions, and prove your answers correct . Is the function injective?
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Unformatted text preview: • Is the function surjective? • If the function is not surjective, what is its image? (a) f : R → R , de±ned by f ( x ) = x 2-4 x + 5 . (b) g : R- {-1 } → R , de±ned by g ( x ) = x + 3 x + 1 . (c) h : R + → R , de±ned by h ( x ) = 1-x x , if 0 < x ≤ 1 , 1-x, if x ≥ 1 ....
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