MAT 1320 Study Guide - Final Guide: Surjective Function, Filk Music, Talking Lifestyle 1278

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1320
• Professor: Kirill Zaynullin

Document Summary

B is called injective or 1-1 if for all a. The properties injective and surjective are independent properties. Any combination of these two properties is possible. Exercise give proofs or counterexamples for each of the above functions and properties. These notes are solely for the personal use of students registered in mat1348. B is called a bijection if f- is both injective and surjective . Be the function de ned as follows: g(x, y) = x y , 3xy . My elr, that t ye # and 3xy eat. Prove that g is a bijection. we must prove that g is both injective and surjective. Recall : hit = exeter; x > o } and. Xlr, be an arbitrary element of g "s codomain . such that guy f- cris) ) ftp. be. user. se#. 3ocrejectbecauseyelr. y=sx=rfer we need and r. ) need to equal lay (goal : prove that reverse - engineer what.