Question

List the domain and range of the relation.{(2,-4), (3,3), (0, - 4), (3,1) (2,4)}The domain is {}. (Use a comma to separate answers as needed.)

Answer 1

Domain are a set of values of ( x ) which serves as an input to the function. The set of values of ( x ) qualifies the domain over which the function f ( x ) is defined over.

Function f ( x ) is a relationship between the input and output. It is expressed as an mathematical expression of any form.

The following set of values given to us:

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

The pair of values are expressed as follows:

$\textcolor{#FF7968}{(}\text{\textcolor{#FF7968}{ x , y )}}$

Where,

$\begin{gathered} x\colon\text{ Domain ( input )} \\ y\text{ : Function ( output ) - f ( x )} \end{gathered}$

The domain is a set of values of ( x ) from lowest to highest as follows:

$\begin{gathered} \text{Highest: x = 3 } \\ \text{Lowest: x = 0} \end{gathered}$

Hence, we can write the domain as follows:

$\text{\textcolor{#FF7968}{Domain}}\text{: }\left\lbrace \text{ 0 , 3 }\right\rbrace$

Similarly we can express the range of values for the output by considering the highest and lowest output.

$\begin{gathered} Highest\colon\text{ y = 4} \\ \text{Lowest : y = -4} \end{gathered}$

Hence, we can write the domain as follows:

$\textcolor{#FF7968}{Range}\text{\textcolor{#FF7968}{:}}\text{ }\left\lbrace \text{ -4 , 4 }\right\rbrace$