Categories
Discrete Math

Is the set to that maps each employee to his or her job(s) a relation?

Learning Goal: I’m working on a discrete math question and need guidance to help me learn.
CompetencyDescribe real-life applications using sets. Proceed to take those sets and determine if they are onto, one-to-one, and invertible while also perform operations on sets.
Student Success CriteriaView the grading rubric for this deliverable by selecting the “This item is graded with a rubric” link, which is located in the Details & Information pane.
ScenarioYou have just been hired on as manager for Zeta Groups and Rings, the new leader in computer security. Your first assignment is to fill 8 positions:
2 Administrative Assistants
2 Customer Service Representatives
3 IT Security Engineers
1 Chief Information Security Officer
You have the following spreadsheet (below) which contains names of possible candidates, their respective positions they would be eligible to perform, and the number of years of experience in that position. You must fill those positions and then follow the instructions given below.*Special note: An employee can take on more than one position if they are qualified. For example, Jamie Houston could be both an Administrative Assistant and Customer Service Representative if you desire.
InstructionsUsing the job fillings you choose, create three sets of data:
the employee’s name, their respective job, and the number of years they are qualified at each position. Once you have filled the positions, answer the following questions: Write the three sets in set notation. What are the respective sizes of each set?
Is the set to that maps each employee to his or her job(s) a relation? Is it a function? Explain your reasoning.
Is the set to that maps each job to the employee who carries out that job a relation? Is it a function? Explain your reasoning.
Is the set to that maps each employee to his or her job(s) onto? Is it one-to-one? Is it invertible? Explain your reasoning.
Is the set to that maps each employee to the number of years of experience they have onto? Is it one-to-one? Is it invertible? Explain your reasoning.
Let the universal set, , be all possible Employee names. Create two subsets of the employee’s names: Let the set of all names who are Administrative Assistants and
ATTACHMENTS
attachment_1
attachment_2