Q63. - Algebra 1

Question

Express the relation shown in each table, mapping, or graph as a set of ordered pairs.

Step-by-Step Solution

Answer

The ordered pair representation of given relation is $\left\{\left(-2,-2\right),\left(0,-3\right),\left(2,-2\right),\left(2,0\right),\left(4,-1\right)\right\}$

Step 1. Order pair representation of the relation.

The ordered pair representation of a relation is a set of ordered pair $\left(x,y\right)$ where $x$ is related to $y$ by the given relation.

Step 2. Ordered pairs belong to a given relation.

Here as $-2$ is related to $-2$, therefore, $\left(-2,-2\right)$ belongs to given relation,

And as $0$ is related to $-3$, therefore,  $\left(0,-3\right)$ belongs to given relation,

And as $2$ is related to $-2$, therefore, $\left(2,-2\right)$ belongs to given relation,

And as $2$ is related to $-1$, therefore, $\left(2,0\right)$ belongs to given relation,

And as $4$ is related to $-1$, therefore, $\left(4,-1\right)$  belongs to given relation,

Step 3. Ordered pair Representation.

The ordered representation of the given relation is: $\left\{\left(-2,-2\right),\left(0,-3\right),\left(2,-2\right),\left(2,0\right),\left(4,-1\right)\right\}$