Let's analyze the graph and answer each part of the problem:

(a) List the ordered pairs of the relation:

To find the ordered pairs, we take the coordinates of each point from the graph.

1. The first point is located at (-4, 5).
2. The second point is at (-2, -2).
3. The third point is at (2, 3).
4. The fourth point is at (5, -3).
5. The fifth point is at (7, 1).

Now, we order the points by increasing values of $x$, and if $x$ values are equal, we order by increasing $y$.

The ordered pairs are: $(-4, 5), (-2, -2), (2, 3), (5, -3), (7, 1)$

(b) Find the domain of the relation:

The domain is the set of all possible $x$-values in the relation. From the ordered pairs, the $x$-values are: $-4, -2, 2, 5, 7$ Thus, the domain is: $\{-4, -2, 2, 5, 7\}$

(c) Find the range of the relation:

The range is the set of all possible $y$-values in the relation. From the ordered pairs, the $y$-values are: $5, -2, 3, -3, 1$ Thus, the range is: $\{5, -2, 3, -3, 1\}$

Would you like further clarification or details on any of these points?

Relative questions:

1. What would change if a new point was added with an $x$-coordinate of $1$?
2. How can you determine if this relation is a function?
3. If the graph were extended, how would you predict new points for the relation?
4. Can a relation have multiple points with the same $y$-coordinate but different $x$-coordinates?
5. What is the impact of reflecting the graph across the $x$-axis?

Tip:

When finding the domain and range of a graph, always look for all unique $x$-values for the domain and all unique $y$-values for the range!