Question

The total number of points scored by each player throughout a season are listed on a roster by the player's jersey number. is this a function? explain your reasoning.

Answer 1

Yes, this would be a function.

Using ordered pairs to represent this, we would have (jersey #, points).  A relation is a function if no element of the domain matches more than one element of the range; in our case, the domain is the jersey number and the range is the number of points.

The jersey number will not match two numbers of points throughout the season; a player will only have one total number of points throughout the season.  Therefore no element of the domain matches more than one element of the range, and this is a function.

Answer 2

A)Yes, it is a function because each player's jersey number will have only one number for the points scored during the season.

Each jersey number has exactly one number for the total points scored by the player.

In a function, every input has exactly one output. In this situation, each jersey number is an input, and the total points scored for the season by the player is the output.