Q61. - Algebra 1

Question

Express each relation as a table, a graph, and a mapping. Then determine the domain and range.

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

Step-by-Step Solution

Answer

Domain $=\left\{-2,-1,0,\right\}$

Range $=\left\{2,3,4\right\}$

Step 1. Definition of domain and range.

In relation, the set of the first element of each order of pairs is known as a domain set and the set of the second element of each order of pairs is known as range set.

Step 2. Tabular representation.

The tabular representation of the given relation is:

x	y
$-2$	4
$-1$	3
0	2
$-1$	2

Step 3. Graphical Representation.

The Graphical representation of given relation is:

Step 4. Mapping.

The Mapping of given relation is:

 

Step 5. Determining Domain and Range.

As the set of the first element is $\left\{-2,-1,0\right\}$

Therefore Domain $=\left\{-2,-1,0\right\}$

And as the set of the second element is $\left\{2,3,4\right\}$

Therefore, Range $=\left\{2,3,4\right\}$