To find the domain and range of the relation $[(1, -8), (-7, 8), (-3, 7), (-3, -5)]$, let's break down the terms:

• Domain: The domain consists of all the first elements (x-coordinates) from the ordered pairs.
• Range: The range consists of all the second elements (y-coordinates) from the ordered pairs.

Given relation: $(1, -8), (-7, 8), (-3, 7), (-3, -5)$

• Domain: The first elements are $1$, $-7$, $-3$, and $-3$. So, the domain is $\{1, -7, -3\}$. (Duplicates are only listed once).
• Range: The second elements are $-8$, $8$, $7$, and $-5$. So, the range is $\{-8, 8, 7, -5\}$.

Now, let's compare this with the provided options:

• Domain: $\{1, -7, -3\}$
• Range: $\{-8, 8, 7, -5\}$

The correct choice matches these sets:

Answer: D. Domain = $-3, -7, 1$; Range = $7, 8, -8, -5$

Would you like further details or have any questions?

Here are five relative questions:

1. What is the difference between a function and a relation?
2. How would the domain and range change if we added the pair $(2, -7)$?
3. Can a relation have the same domain and range?
4. How do you determine if a relation is a function?
5. What is the domain and range of the function $f(x) = x^2$?

Tip: When determining the domain and range, always list unique values only.