Q51. - Algebra 2

Question

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

$\left(3,5\right),\left(4,6\right),\left(5,-4\right)$

Step-by-Step Solution

Answer

Graph of given relation is 

Domain is $\left\{3,4,5\right\}$ and range is $\left\{-4,5,6\right\}$

Given relation is a function.

Step 1 - Plot given points

Each ordered pair is of the form $\left(x,y\right)$ where first element represents $x\text{-coordinate}$ and second represents $y\text{-coordinate}$. So plot given points on coordinated plane.

Step 2 - Find the domain and range

Domain is the first element of ordered pair and range is the second element of ordered pair

Domain is $\left\{3,4,5\right\}$

Range is $\left\{-4,5,6\right\}$

Step 3 - To determine given relation is function or not

Since, first element of each ordered pair is different.

Thus, given relation is a function.