To find the domain and range of the given graph:

Domain

The domain is the set of all possible $x$-values that the graph covers. From the graph, we see that:

• The graph extends infinitely to the left and right (as shown by the arrows).
• This means the domain is all real numbers.

Thus, the domain is: $\text{Domain} = (-\infty, \infty)$

Range

The range is the set of all possible $y$-values that the graph covers. From the graph:

• The lowest point is at $y = 1$, which corresponds to the vertex of the "V" shape.
• The graph increases infinitely upward from the vertex.

Thus, the range is: $\text{Range} = [1, \infty)$

If you want additional details or have questions, let me know!

Related Questions:

1. What is the significance of the vertex in this type of graph?
2. How do we determine if a function like this is one-to-one?
3. Can you write the piecewise function corresponding to this graph?
4. How would the domain or range change if the vertex were shifted?
5. What kind of transformations can create a similar graph?

Tip: Always check the graph's arrows to confirm infinite behavior when determining the domain and range.