Chapter 1.4, Problem 36HP

To determine

To calculate:To write a set of four ordered pairs, thenrepresent each relation in a table and determine the domain and range

Answer to Problem 36HP

Set of four ordered pairs is $\left\{\left(1,3\right),\left(2,6\right),\left(3,3\right),\left(4,7\right)\right\}$

Relation in table is given as follows

x	y
1	3
2	6
3	3
4	7

Domain is $\left\{1,2,3,4\right\}$ and range is $\left\{3,6,7\right\}$

Explanation of Solution

Given information:Set of four ordered pairs

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:

Let us assume that the set of ordered pairs is as follows

  $\left\{\left(1,3\right),\left(2,6\right),\left(3,3\right),\left(4,7\right)\right\}$

Now, above relation in tabular format is

x	y
1	3
2	6
3	3
4	7

Domain and range are as follows:

  $D=\left\{1,2,3,4\right\}$

  $R=\left\{3,6,7\right\}$