Question

find the domain and the range of the relation. determine whether the relation is a function. (-5,6),(4,6),(-5,0),(-7,-0) the domain is (use a comma to separate answers as needed.)

Explanation:

Step1: Identify domain values

The domain is the set of all x-values from the ordered pairs $\{(-5,6),(4,6),(-5,0),(-7,-9)\}$. Extract unique x-values: $-5, 4, -7$.

Step2: Identify range values

The range is the set of all y-values from the ordered pairs. Extract unique y-values: $6, 0, -9$.

Step3: Check if relation is a function

A function requires each x-value to map to only one y-value. Here, $x=-5$ maps to $y=6$ and $y=0$, so it is not a function.

Answer:

The domain is $\{-7, -5, 4\}$
The range is $\{-9, 0, 6\}$
The relation is not a function.