Ex3 - Math 17 TWHFW-7 1 st Sem AY 2011-12 Exercise Set 2 -...

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Unformatted text preview: Math 17 TWHFW-7 1 st Sem AY 2011-12 Exercise Set 2 - Part 2 (HW 12) August 23, 2011 Use a separate piece of paper as your answer sheet. Show as complete a solution as you are able to. Remember to box all final answers. Submission is on Friday, August 26. I. True or False. For each of the following statements, write TRUE if the statement is always true. Otherwise, write FALSE. 1. If f ( x ) and g ( x ) are functions such that f ( g ( x )) = x , then g = f − 1 . 2. | y 4 | = 0 is an equation describing a relation that is not a function. 3. A polynomial of odd degree has at least one real zero. 4. A function cannot have the null set as its codomain. 5. The set { ((0 , 0) , 0) , ((1 , 2) , 3) , ((1 , 1) , 2) , ((1 , 4) , 5) , ((1 , 0) , 1) , ((2 , 2) , 4) } represents a function. 6. log 1 a x = − log a x ∀ a ∈ R ,a > ,a negationslash = 1 7. For any two polynomials m ( x ) and n ( x ) there exist unique polynomials q ( x ) and r ( x ) such that m ( x ) = q ( x ) n ( x ) + r ( x ) with deg r ( x ) < deg n ( x ) or r ( x ) = 0....
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Ex3 - Math 17 TWHFW-7 1 st Sem AY 2011-12 Exercise Set 2 -...

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