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Unformatted text preview: Determine whether the function f from the set of real numbers to itself is a bijection. If f ( x ) is a bijection, please ﬁnd f-1 ( x ) . (a) f ( x ) = x + 2 (b) f ( x ) = 3 x 2-1 Question 9 (10pts) For the following lists of integers, provide a simple formula or rule that gener-ates the terms of an integer sequence that begins with the given list. Assuming that your formula or rule is correct, determine the next three terms of the sequence. (a) 3 , 6 , 11 , 18 , 27 , 38 , 51 , 66 , 83 , 102 , . . . (b) 7 , 11 , 15 , 19 , 23 , 27 , 31 , 35 , 39 , 43 , . . . Question 10 (10pts) Prove that between every two rational numbers there is an irrational number. 2...
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- Spring '08
- Rational number, Irrational number