The graph shows a function with a starting point at $x = -1$ and appears to extend indefinitely upwards as $x \to \infty$. Based on this, I can determine the domain and range.

Domain:

• The graph starts at $x = -1$ (where there is an open circle indicating that this point is not included in the domain).
• The function extends to the right, without bound as $x \to \infty$.

Thus, the domain is: $(-1, \infty)$

Range:

• The graph starts at $y = -5$ and rises without bound.
• Since the open circle is at $y = -5$, the function does not include this value but starts immediately above it.

Thus, the range is: $(-5, \infty)$

Conclusion:

• Domain: $(-1, \infty)$
• Range: $(-5, \infty)$

Would you like more details or have any questions?

Here are 5 related questions for further practice:

1. What is the significance of the open circle on the graph at $(-1, -5)$?
2. How would you describe the behavior of the function as $x \to \infty$?
3. What would the domain and range be if the circle were closed at $(-1, -5)$?
4. How do you determine the range of a function when looking at its graph?
5. How does the graph's increasing and decreasing behavior affect the range?

Tip: When analyzing a graph, always pay close attention to open and closed circles, as they indicate whether specific points are included in the function's domain or range.