Q58. - Algebra 1

Question

GEOMETRY Express the relation in the graph at the right as a set of ordered pairs and describe the domain and range. (Lesson 1-6)

Step-by-Step Solution

Answer

The relation in the graph expressed as a set of ordered pair is:

$\left\{\left(1,3\right),\left(2,6\right),\left(3,9\right),\left(4,12\right),\left(5,15\right)\text{, }\left(6,18\right)\right\}$

 

The domain is $\left\{1,2,3,4,5,6\right\}$ and the range is $\left\{3,6,9,12,15,18\right\}$.

Step 1. State the concept.

A relation can be represented as a set of ordered pairs like $\left(x,y\right)$ where the x values are the members of the domain and y values are the members of the range.

Step 2. List the given data.

The relation:

Step 3. Determine the ordered pairs.

Writing first the x-coordinate and then the y-coordinate of the given points on the graph as ordered pairs, the set of ordered pairs obtained is:

 

$\left\{\left(1,3\right),\left(2,6\right),\left(3,9\right),\left(4,12\right),\left(5,15\right)\text{, }\left(6,18\right)\right\}$

Step 4. Determine the domain and the range.

Since the first element of all the ordered pairs constitute the domain and the second element of all the ordered pairs constitute the range, the domain and range obtained are as follows:

 

Domain: $\left\{1,2,3,4,5,6\right\}$

 

Range: $\left\{3,6,9,12,15,18\right\}$