Q. 9 - Algebra 2

Question

Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function.

$\left\{\left(6,3\right),\left(2,1\right),\left(-2,3\right)\right\}$

Step-by-Step Solution

Answer

The graph of the relation is as shown,

The domain of the system of equation is $\left\{6,2,-2\right\}$.

The range of the system of equation is $\left\{3,1,3\right\}$.

The relation or equation is a function.

Step 1. Determining the domain of the equation

The domain is the set of all first elements of the ordered pairs.

Hence, the domain will be $\left\{6,2,-2\right\}$.

Step 2. Determining the range of the equation

The range of a relation is the set of the second coordinates from the ordered pairs.

Hence, the range will be $\left\{3,1,3\right\}$.

Step 3. Determining whether the relation is a function

This relation is a function because each element in the domain $\left\{6,2,-2\right\}$ is paired with exactly one element in the range $\left\{3,1,3\right\}$.

Graphical Interpretation

The graph of the following function is: