Let's analyze the graph in your image to solve the problem.

Steps:

1. Domain: The domain is the set of all possible $x$-values (input values) where the relation is defined. From the graph, the red points represent the relation, so we identify the $x$-coordinates of these points.

   Observing the graph, the $x$-coordinates are:

   • $x = -4$
   • $x = -2$
   • $x = 0$
   • $x = 2$
   • $x = 4$

   So, the domain is: $\text{Domain} = \{-4, -2, 0, 2, 4\}$

2. Range: The range is the set of all possible $y$-values (output values) where the relation is defined. We now identify the $y$-coordinates of the red points.

   The $y$-coordinates are:

   • $y = 2$
   • $y = 4$

   So, the range is: $\text{Range} = \{2, 4\}$

3. Function Check: A relation is a function if each $x$-value has only one corresponding $y$-value. In this case, all the $x$-values map to only one $y$-value each. There are no repeated $x$-values with different $y$-values.

   Therefore, this relation represents a function.

Summary:

• Domain: $\{-4, -2, 0, 2, 4\}$
• Range: $\{2, 4\}$
• The relation is a function.

Would you like further clarification or more details? Here are some related questions for additional practice:

1. How do you identify the range of a relation if the graph is not provided?
2. What is the difference between a relation and a function?
3. Can a relation have a repeated $y$-value and still be a function?
4. How do you determine if a graph fails the vertical line test?
5. Can a function have gaps in its domain, and how does that affect its range?

Tip: To check if a relation is a function, always apply the vertical line test. If any vertical line intersects the graph at more than one point, the relation is not a function!