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For question 2, we need to determine the **domain** and **range** for each situation, labeled as **a)** and **b)**.

### a) Based on the graph:
- **Domain**: The domain refers to the set of all possible x-values (horizontal axis) for which the graph has points. 
    - From the graph, the x-values range from \(-6\) to \(2\). 
    - Hence, the domain is: \([-6, 2]\).

- **Range**: The range is the set of all possible y-values (vertical axis) the graph reaches.
    - From the graph, the y-values range from \(-1\) to \(4\).
    - Therefore, the range is: \([-1, 4]\).

### b) For the given set of points: \{(-5,2), (0,2), (0,2), (5,2), (11,2)\}:
- **Domain**: The domain is the set of all distinct x-values.
    - The x-values from the set are: \(-5, 0, 5, 11\).
    - So, the domain is: \(\{-5, 0, 5, 11\}\).

- **Range**: The range is the set of all distinct y-values.
    - All the y-values are \(2\), so the range is: \(\{2\}\).

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Would you like further details on this or have any other questions?

### Relative questions:
1. What is the difference between a continuous and discrete domain?
2. Can a function's range have only one value?
3. How would you find the domain of a quadratic function from its equation?
4. Can a graph have multiple values in its range but only one value in its domain?
5. How do we represent the domain and range in interval notation?

### Tip:
When finding the domain from a graph, look for the minimum and maximum x-values. Similarly, for the range, focus on the minimum and maximum y-values where the graph extends.

What is the domain and range in each situation?

Learn how to determine the domain and range from both a graph and a set of points. This lesson focuses on identifying x-values and y-values from visual and discrete representations, suitable for students in Grades 8-10.

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