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.