MAT102H5 Study Guide - Quiz Guide: Bijection, Surjective Function, Contraposition

• School: UTM
• Department: Mathematics
• Course: MAT102H5
• Professor: Shay Fuchs

Document Summary

Mat102s - intro. to mathematical proofs - winter 2011 - utm. Quiz 4 (version b) - march 23, 2011 - solutions: here is the graph of a function f : r r . (3 marks) The domain and the target space of f can be restricted to various intervals. In each case, (cid:12)ll in the circle that corresponds to the correct answer. No explanation is needed for this question. (a) if f : [ 2; 2] [ 7; 7] , then f is . (cid:15) an injection but not a surjection. Neither a surjection nor an injection. (b) if f : [ 4; 1] [ 2; 7] , then f is . A surjection but not an injection. but not a surjection. A bijection. (cid:15) neither a surjection nor an injection. (c) if f : [0; 4] [ 6; 0] , then f is . (cid:15) a surjection but not an injection.