To find the domain and range of the function in the given graph, we need to identify the set of possible $x$-values (domain) and $y$-values (range) from the points shown.

Domain:

The domain consists of all the $x$-coordinates of the points:

• From the graph, the points appear to have $x$-values of: $-6, -4, -2, 1, 3, 4, 6$.

Range:

The range consists of all the $y$-coordinates of the points:

• The $y$-values from the graph are: $-6, -4, -2, 2, 4, 6$.

Correct Answer:

• Domain (D): $[-6, -4, -2, 1, 3, 4, 6]$
• Range (R): $[-6, -4, -2, 2, 4, 6]$

Thus, the correct choice is c.

Would you like further clarification, or do you have any questions?

Related Questions:

1. How is the domain of a function determined from its graph?
2. How does one find the range of a function using its graph?
3. What is the difference between continuous and discrete domains?
4. How can graphing calculators help in finding domain and range?
5. What are examples of functions with limited domain or range?

Tip:

When analyzing the domain and range of discrete points, list all distinct $x$- and $y$-coordinates without repetition.