The question asks for the domain and range of the function defined by the given set of ordered pairs:

$\{(3, -4), (-1, 4), (-2, 6), (1, 0)\}$

Domain:

The domain of a function is the set of all possible input values (or x-values).

From the given ordered pairs, the x-values are:

$\{3, -1, -2, 1\}$

Thus, the domain is: $\{3, -1, -2, 1\}$

Range:

The range of a function is the set of all possible output values (or y-values).

From the given ordered pairs, the y-values are:

$\{-4, 4, 6, 0\}$

Thus, the range is: $\{-4, 4, 6, 0\}$

Final Answer:

• Domain: $\{3, -1, -2, 1\}$
• Range: $\{-4, 4, 6, 0\}$

Let me know if you'd like more details or have any questions!

Here are some related questions to consider:

1. How do you determine whether a relation is a function based on ordered pairs?
2. Can a function have multiple outputs for a single input? Why or why not?
3. What is the difference between the domain of a function and the range of a function?
4. How would you graph the ordered pairs and visually determine the domain and range?
5. If one of the x-values repeats with a different y-value, does it affect whether the relation is a function?

Tip: Always check that each x-value is paired with only one y-value when determining if a set of ordered pairs represents a function.