Q44. - Algebra 2

Question

Use the table below that shows the number of members of the U.S. House of Representatives with$30$ or more consecutive years of service in Congress from 1987 to 1999

Identify the domain and range

Step-by-Step Solution

Answer

The domain of the given relation is $\left\{1987,1989,1991,1993,1995,1997,1999\right\}$ and the range of the given relation is $\left\{3,6,9,11,12,13\right\}$.

Step 1 – Definition of domain and range.

The set of input values is known as domain.

The set of output values is known as range.

Step 2 – Given information.

The table below shows the number of members of the U.S. House of Representatives with $30$ or more consecutive years of service in Congress from $1987 to 1999$.

Step 3 – Graph the given relation.

It is given that the years are the domain and the representatives are range. So, the input values are$1987,1989,1991,1993,1995,1997,1999$ and the respective output values are $12,13,11,12,9,6,3$. The set contains only distinct elements.

 

Thus, the domain of the given relation is $\left\{1987,1989,1991,1993,1995,1997,1999\right\}$ and the range of the given relation is $\left\{3,6,9,11,12,13\right\}$.