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Use the graph of the function to find its domain and range. Write the domain and range in interval notation.

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.

Analyze the graph of a function to determine its domain and range. Learn how to identify key points such as open and closed intervals. Suitable for high school students in Grades 9-12.

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