Chapter 8.1, Problem 21E

a.

To determine

To identify:

The domain and range ofthe relation given by the ordered pairs $\left(x,y\right)$ .

Answer to Problem 21E

Domain of the relation:

  $\{62,73,81,82\}$

Range of the relation: $\{604,1086,1199,1102,1208\}$

Explanation of Solution

Given:

The table shows the numbers of games played and points scored by each starting player one the New Jersey Nets basketball team during the team’s 2001-2002 regular season.

Calculation:

We know that x values of ordered pairs represent domain of relationship and y values of ordered pair represent range of relationship.

Domain of the relation: $\{62,73,81,82\}$

Range of the relation: $\{604,1086,1199,1102,1208\}$

b.

To determine

To draw:

A mapping diagram for the given relation.

Answer to Problem 21E

The mapping diagram for our given relation would look like:

Explanation of Solution

Given:

The table shows the numbers of games played and points scored by each starting player one the New Jersey Nets basketball team during the team’s 2001-2002 regular season.

Calculation:

The mapping diagram for our given relation would look like:

c.

To determine

Is the given relation a function? Explain.

Answer to Problem 21E

The given relation is not a function.

Explanation of Solution

Given:

The table shows the numbers of games played and points scored by each starting player one the New Jersey Nets basketball team during the team’s 2001-2002 regular season.

Calculation:

We know that for a relation to be a function, one x- value cannot have two y -values, while two x- values can have same y- value.

Upon looking at our given table, we can see that there are two y -values corresponding to $x=82$ .

Therefore, the given relation is not a function.