Chapter 1.4, Problem 3GP

To determine

To calculate:To represent each relation in a table and determine the domain and range

Answer to Problem 3GP

Relation in table is given as follows

x	y
2	4
0	3
1	4
1	1

Domain is $\left\{2,0,1\right\}$ and range is $\left\{4,3,1\right\}$

Explanation of Solution

Given information:Set of ordered pairs is $\left\{\left(2,4\right),\left(0,3\right),\left(1,4\right),\left(1,1\right)\right\}$

Formula Used:

In an ordered pair $\left(x,y\right)$

Domain is the set of all first elements of ordered pairs (x-coordinate)

Range is the set of all second elements of ordered pairs (y-coordinate)

Calculation:

Set of ordered pairs is given as

  $\left\{\left(2,4\right),\left(0,3\right),\left(1,4\right),\left(1,1\right)\right\}$

Now, above relation is tabular format is

x	y
2	4
0	3
1	4
1	1

Domain and range are as follows:

  $D=\left\{2,0,1\right\}$

  $R=\left\{4,3,1\right\}$