2 votes 2 votes Given $f : Z^*Z \rightarrow Z$ And: $f(m,n) = \mid m \mid – \mid n \mid$ $f(m,n) = m2 + n2$ $f(m,n) = m2 – 4$ $f(m,n) = 2m – n$ Which one of the following options is correct? only IV is onto. only IV and I are onto. III is not onto. II is onto. Mathematical Logic tbb-mathematics-2 + – Bikram asked May 24, 2017 • edited Aug 14, 2019 by Counsellor Bikram 375 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 3 votes 3 votes II is wrong because of this reason (out of some) : No negative numbers are there. Almost similar argument with III. II, III are not onto. I and IV can cover all Z range after carefull observation. Bikram answered May 24, 2017 • selected Aug 14, 2019 by Bikram Bikram comment Share Follow See all 2 Comments See all 2 2 Comments reply rahuljai commented Dec 12, 2018 reply Follow Share why option is not correct as III is not onto? 2 votes 2 votes palashbehra5 commented Jan 10, 2022 reply Follow Share https://www.desmos.com/calculator/98bieyjri7 Bikram III is not onto. Option c is also correct. 0 votes 0 votes Please log in or register to add a comment.
2 votes 2 votes option B and option C both are correct.... akash.dinkar12 answered Jul 24, 2017 akash.dinkar12 comment Share Follow See all 2 Comments See all 2 2 Comments reply Bikram commented Jul 25, 2017 reply Follow Share Negative numbers are there in f(m,n) = m2 - 4 ? 0 votes 0 votes slow_but_detemined commented Dec 20, 2019 reply Follow Share @Bikram sir Option given is III is not onto. 0 votes 0 votes Please log in or register to add a comment.