https://file.aiquickdraw.com/mathbot/file/17267750794770s9i1ale.jpg

The graph in the image shows a horizontal line at \( y = -2 \), which indicates that the function is constant at \( y = -2 \) for all values of \( x \). The arrows on both ends of the line suggest that the function extends infinitely in both directions along the \( x \)-axis.

### Domain and Range:

- **Domain**: The domain of the function is the set of all possible \( x \)-values for which the function is defined. Since the line extends infinitely in both directions, the domain is all real numbers.
  \[
  \text{Domain} = (-\infty, \infty)
  \]
  
- **Range**: The range is the set of all possible \( y \)-values the function can take. Since the line is horizontal and at \( y = -2 \), the range is just \( y = -2 \).
  \[
  \text{Range} = \{-2\}
  \]

Would you like any further details on this? Here are five related questions:

1. What is the definition of a constant function?
2. How can you determine the domain of a function by looking at its graph?
3. What does it mean if a function's graph has arrows at the ends?
4. How would the range change if the line were not horizontal?
5. Can a function have a range that is a single point?

**Tip**: Constant functions always have a range consisting of just one value, no matter how the domain behaves.

Determine the domain and the range of the function shown below (image of a horizontal line at y = -2 extending indefinitely).

This problem involves determining the domain and range of a constant function from its graph. The function is represented by a horizontal line at y = -2, extending infinitely along the x-axis. The domain is all real numbers, and the range is the single value y = -2. Suitable for students in Grades 8-10.

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