SOLUTION: Would the set of ordered pairs (x,y) where x = the first name of people in this course and y = the birth dates of people in this course define a function? Why or why not

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Would the set of ordered pairs (x,y) where x = the first name of people in this course and y = the birth dates of people in this course define a function? Why or why not      Log On


   



Question 412097: Would the set of ordered pairs (x,y) where x = the first name of people in this course
and y = the birth dates of people in this course define a function? Why or why not

Answer by solver91311(24713) About Me  (Show Source):
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Possibly. If no two people in the set of people who are in "this course" have the same first name, or for any group of people who are in "this course" that do have identical first names the group shares a common birthday, then the set of ordered pairs (x,y) where x = the first name of people in this course and y = the birth dates of people in this course does indeed define a function. However, if there is just one pair of people who have the same name but different birthdays, then this is not a function.

In order for a relation to be a function, the output must be unique for any given input.

John

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