PracticeMid2-15Sol - MATH 122 A01 Practice Midterm 2 Time 50 minutes 1(2 marks Circle the letter beside each true statement No justication is necessary

PracticeMid2-15Sol - MATH 122 A01 Practice Midterm 2 Time...

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MATH 122 A01Practice Midterm 2Time:50 minutes1. (2 marks) Circle the letter beside each true statement. No justi°cation is necessary.aLetn2Z. Then2bn=2c 6=nif and only ifnis odd.bNot every subset ofA°Bis a function fromAtoB.cNo function fromf1;2gtof1;2;3gcan be onto.dIffandgare functions fromZtoZsuch thatf(3) = 4; f(4) = 5,f(5) = 3, andg(3) = 5; g(4) = 4; g(5) = 3, then(g±f)(4) = 3.2. (3 marks) Prove that the functionf:Z!Zde°ned byf(n) = 4²7nis not onto.
3. (3 marks) Supposef:A!Bandg:B!Care1²1functions. Prove thatg±fis1²1.

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