Given the function defined by the set of points $\{(14, -6), (-12, 6), (9, -1), (4, -6)\}$, we can determine the domain and range as follows:

Domain:

• The domain of a function consists of all the input values (the first components in the ordered pairs).
• From the set of points:
  • The inputs (or $x$-values) are $14$, $-12$, $9$, and $4$.

Thus, the domain is $\{14, -12, 9, 4\}$.

Range:

• The range of a function consists of all the output values (the second components in the ordered pairs).
• From the set of points:
  • The outputs (or $y$-values) are $-6$, $6$, $-1$, and $-6$.

Thus, the range is $\{-6, 6, -1\}$.

(Note that $-6$ is repeated, but it only needs to be listed once in the range.)

If you have any more questions or would like more details, feel free to ask!

Here are 5 related questions to explore:

1. How do you find the domain and range for a continuous function like $f(x) = x^2$?
2. What would be the domain and range of the function $g(x) = \sqrt{x-2}$?
3. Can a function have the same range but different domains? Give an example.
4. What is the range of a linear function $h(x) = 2x + 3$?
5. How would the domain and range change if the function includes all real numbers within specific intervals?

Tip: The domain is the set of all possible input values for which the function is defined, while the range is the set of all possible outputs the function can produce.