The graph shows four points plotted on the coordinate plane. Based on the points' locations, the domain and range of the function can be identified by examining the x-coordinates (for the domain) and the y-coordinates (for the range) of each point.

Step 1: Identify the coordinates of the points.

From the graph, the points seem to be approximately:

• Point 1: (-8, 7)
• Point 2: (-4, 6)
• Point 3: (2, 6)
• Point 4: (8, 8)

Step 2: Domain

The domain consists of the x-values of all the points:

$\text{Domain} = \{-8, -4, 2, 8\}$

Step 3: Range

The range consists of the y-values of all the points:

$\text{Range} = \{7, 6, 8\}$

So, the answers would be:

• Domain: $\{-8, -4, 2, 8\}$
• Range: $\{7, 6, 8\}$

Would you like more details or have any questions?

Here are five related questions for practice:

1. How would you determine the domain and range if the graph was continuous instead of discrete?
2. What would the domain and range be if an additional point (5, 10) were added?
3. Can a function have the same range but a different domain? Provide an example.
4. What is the difference between domain and range in real-world contexts?
5. How can the domain and range be affected by transformations of the graph?

Tip: Always check for duplicate x or y values when identifying domain and range, as repeated values should only be listed once.