To determine the domain and range of the given relation from the graph:

Step 1: Identify the Domain

The domain consists of all the x-values (horizontal axis) corresponding to the points plotted on the graph. From the graph, the points have the following x-values:

• Point at (-1, -5): x = -1
• Point at (0, 2): x = 0
• Point at (4, 5): x = 4

Thus, the domain is: {-1, 0, 4}

Step 2: Identify the Range

The range consists of all the y-values (vertical axis) corresponding to the points plotted on the graph. From the graph, the points have the following y-values:

• Point at (-1, -5): y = -5
• Point at (0, 2): y = 2
• Point at (4, 5): y = 5

Thus, the range is: {-5, 2, 5}

Final Answer:

• Domain: {-1, 0, 4}
• Range: {-5, 2, 5}

The correct choice from the options is: Domain: {-1, 0, 4}, Range: {-5, 2, 5}

Would you like further explanation or clarification?

Related Questions:

1. What is the difference between the domain and range of a function?
2. How do you determine the domain and range from a table of values?
3. How can domain and range be expressed in interval notation?
4. What are the common constraints on a domain in real-world problems?
5. How do you graphically identify relations that are functions?

Tip: Always organize x-values in the domain and y-values in the range in ascending order for clarity.