Question

In the following problems, set X represents the domain and Y is the set of values that occur with a potential function, Confirm whether the function f can be defined according to the mapping Y. Set X consists of all the alumni of Anycollege University, set Y is each alumnus' alma mater. S X consists of the workers at Busy Firm, set Y is each worker's social security number Set X consists of all the people who have shared the prize for Best-Dressed Celebrity in any given year, set Y consists of the years in which the Best Dressed Celebrity prize was shared. Set X is a set of fathers; set Y is the set of their sons

Answer 1

(1)

X = Alumni of any college University Former student of a college)

Y = Each alumnus' alma mater (each Former student's college)

Each X is related to exactly one Y.

So,

The function can be defined according to the mapping

(2)

X = Workers at Busy Firm

Y = Each worker's Social Security Number

Each X is related to exactly one Y.

So,

The function can be defined according to the mapping

(3)

X = All the people who have shared the prize for Best - Dressed Celebrity in any given year

Y = The years in which for Best - Dressed Celebrity prize was shared

Each X may be related to more than one Y.because a person can get in more than one year.

So,

The function cannot be defined according to the mapping

(4)

X = a set of fathers

Y = the set of their sons

Each X may be related to more than one Y.because a father can get in more than one son.

So,

The function cannot be defined according to the mapping