Specify a codomain for each of the functions in Exercise 16. Under what conditions is each of these functions with the codomain you specified onto?EXERCISE 16: Consider these functions from the set of students in a discrete mathematics class. Under what conditions is the function one-to-one if it assigns to a student his or hera) mobile phone number.b) student identification number.c) final grade in the class.d) home town.

SOLUTIONStep 1 We have to specify the codomain for each of the function given in the exercise,and we have to check under what condition this function is onto.Step 2a)Codomain : All ten digit positive integers .This function is not onto.If we consider, collection of all phone numbers assigned to each students in a class, then the function is onto.b) Co domain : set of natural numbers. If we choose a collection of all identification numbers...