Q.10 - Algebra 2

Question

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

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

Step-by-Step Solution

Answer

The graph of the relation is as shown:

The domain of the equation is $\left\{-5,2,1,-5\right\}$.

The range of the equation is $\left\{2,4,1,-2\right\}$.

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 $\left\{-5,2,1,-5\right\}$

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 $\left\{2,4,1,-2\right\}$.

Step 3 - Determining whether the relation is a function

This relation is a function because each element in the domain $\left\{-5,2,1,-5\right\}$ is paired with exactly one element in the range {2,4, 1,-2}.

Graphical Interpretation

The graph of the following function is: