Q4. - Algebra 1

Question

What is the domain of the following relation?

$\left\{(1,3),(-6,4),(8,5)\right\}$

F $\left\{3,4,5\right\}$

G $\left\{-6,1,8\right\}$

H $\left\{-6,1,3,4,5,8\right\}$

I $\left\{1,3,4,5,8\right\}$

Step-by-Step Solution

Answer

The domain of the given relation is $\left\{1,-6,8\right\}$

Step 1. Given information.

The relation $\left\{(1,3),(-6,4),(8,5)\right\}$

To find The domain of the given relation.

Step 2. Apply the concept.

We know that if relation $(x,y)$ then $x$ is called domain and $y$ is called range.

Here, we collect all values of the first position of the given relation.

As relation $\left\{(x_1,y_1),(x_2,y_2),(x_3,y_3)\right\}$ The domain of the above relation is $\left\{x_1,x_2,x_3\right\}$.

Step 3. Calculation.

The domain set of the given relation is the first position of each ordered pair.

Such that $\left\{1,-6,8\right\}$

Hence, the correct option is (G).