Q18. - Algebra 1

Question

Determine the domain and range for the relation

$\left\{\left(2,5\right),\left(-1,3\right),\left(0,-1\right),\left(3,3\right),\left(-4,-2\right)\right\}$

(F) $D:\left\{\left(2,-1,0,3,-4\right)\right\},R:\left\{\left(5,3,-1,3,-2\right)\right\}$

(G) $D:\left\{\left(5,3,-1,3,-2\right)\right\},R:\left\{\left(2,-1,0,3,4\right)\right\}$

(H) $D:\left\{\left(0,1,2,3,4\right)\right\},R:\left\{\left(-4,-3,-2,-1,0\right)\right\}$

(J) $D:\left\{\left(2,-1,0,3,-4\right)\right\},R:\left\{\left(2,-1,0,3,4\right)\right\}$

Step-by-Step Solution

Answer

Domain of the ordered pair is $\left\{\left(2,-1,0,3,-4\right)\right\}$

Range of the ordered pair is $\left\{\left(5,3,-1,3,-2\right)\right\}$

Step 1. Given information.

We have an ordered pair set $\left\{\left(2,5\right),\left(-1,3\right),\left(0,-1\right),\left(3,3\right),\left(-4,-2\right)\right\}$.

To find the Domain and Range of the given ordered pairs set.

Step 2. Apply the concept.

The first position of the ordered pair is called the domain and the second position of the ordered pair is called the range.

As $\left(x_1,y_1\right),\left(x_2,y_2\right),\left(x_3,y_3\right)$ is an ordered pair

  Domain $=\left\{x_1,x_2,x_3\right\}$

  Range $=\left\{y_1,y_2,y_3\right\}$

Step 3. Calculation.

$\left\{\left(2,5\right),\left(-1,3\right),\left(0,-1\right),\left(3,3\right),\left(-4,-2\right)\right\}$ is the given ordered pair set

Domain of the ordered pair is $\left\{\left(2,-1,0,3,-4\right)\right\}$

Range of the ordered pair is $\left\{\left(5,3,-1,3,-2\right)\right\}$

Hence, the correct option is (F).