To find the range of the function $f(x) = |x|$ for the given domain $D = \{-4, 0, -3\}$, we evaluate the function at each point in the domain:

1. $f(-4) = |-4| = 4$
2. $f(0) = |0| = 0$
3. $f(-3) = |-3| = 3$

Thus, the range $R$ is the set of outputs from these calculations:

$R = \{4, 0, 3\}$

If you have any questions or want further details, feel free to ask!

Here are five related questions:

1. What is the range if the domain was $\{-5, -2, 2\}$?
2. How does the function $f(x) = |x|$ change if the domain includes positive numbers?
3. Can the range of $f(x) = |x|$ ever include negative numbers?
4. How would the range change if the function was $f(x) = -|x|$?
5. What is the range if the domain was $\{-4, 4, -3, 3\}$?

Tip: The range of the absolute value function is always non-negative because absolute values represent the distance from zero.