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The graph shows a horizontal line that extends from \(x = -10\) to \(x = 10\) on the x-axis, with a constant \(y = 0\). Let's determine the domain and range of this graph:

1. **Domain**: The domain refers to all possible \(x\)-values for which the function is defined. Since the horizontal line spans from \(x = -10\) to \(x = 10\), the domain is:
   \[
   \text{Domain} = [-10, 10]
   \]

2. **Range**: The range refers to all possible \(y\)-values the function can take. In this case, the line is fixed at \(y = 0\), so the range is just:
   \[
   \text{Range} = \{0\}
   \]

Would you like more details or have any questions?

Here are 5 questions related to this:

1. What happens to the domain and range if the line shifts up by 5 units?
2. How would the domain change if the graph extended from \(x = -20\) to \(x = 20\)?
3. What is the domain and range of a vertical line at \(x = 3\)?
4. How do you define the domain and range of a curve, rather than a straight line?
5. Can the range of a function ever be larger than the domain?

**Tip**: The domain represents all the input values (usually \(x\)), while the range represents the output values (usually \(y\)) for a graph.

Determine the domain and range of the graph.

This example covers the determination of the domain and range of a horizontal line spanning from x = -10 to x = 10 on the x-axis, with y remaining constant at 0. Learn how to identify domain and range in coordinate geometry, ideal for students in Grades 6-8.

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