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Misc 11 - Let f = {(ab, a + b): a,b}. Is f a function - Miscellaneous

Misc 11 - Chapter 2 Class 11 Relations and Functions - Part 2

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Misc 11 Let f be the subset of Z × Z defined by f = {(ab, a + b): a, b ∈ Z}. Is f a function from Z to Z: justify your answer. f = {(ab, a + b): a, b ∈ Z} Finding elements in f Also, both a & b are integers In function, first element is not repeating f will have elements (0,0) , (0,1) , (0,2) Here, first element 0 is repeating Hence, it does not have a unique(one) image. So, f is not a function

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.