Question

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 teacher his or her

1. Office
2. Assigned bus to chaperone in a group of buses taking students on a field trip
3. Salary
4. Social security number

Short answer

1. Depends on whether teachers share offices.
2. One-to-one assuming only one teacher per bus.
3. Most likely not one-to-one, especially if salary is set by a collective bargaining agreement
4. One-to-one

Step-by-step solution

Step: 1

1. Depends on whether teachers share offices.
2. One-to-one assuming only one teacher per bus.
3. Most likely not one-to-one, especially if salary is set by a collective bargaining agreement
4. One-to-one