https://file.aiquickdraw.com/mathbot/file/1727668180394w1jx7r0l.jpg

From the image, we have a graph of a curve that appears to start at \((0, -6)\) and extends to the right as \(x\) increases, continuing indefinitely in that direction. 

### Domain:
The domain refers to the set of all possible \(x\)-values for which the function is defined. Since the curve starts at \(x = 0\) and extends to the right, the domain includes all \(x \geq 0\).

**Domain:** \( [0, \infty) \)

### Range:
The range refers to the set of all possible \(y\)-values that the function takes. The curve starts at \(y = -6\) and increases as \(x\) increases. Since the curve continues indefinitely upwards, the range includes all \(y \geq -6\).

**Range:** \( [-6, \infty) \)

Would you like more details, or do you have any questions?

Here are some related questions you can consider:
1. How would the domain change if the curve started at \(x = -3\) instead of \(x = 0\)?
2. How can you determine the range of a function without a graph?
3. What is the significance of the domain and range in real-world applications?
4. How would the range change if the curve approached a maximum \(y\)-value?
5. Can you identify if this graph represents a specific function type, such as a square root or exponential function?

**Tip:** Always check for any restrictions on the \(x\)-values or \(y\)-values when determining domain and range from a graph.

Using the graph, identify the domain and range for the function below.

Learn how to identify the domain and range of a function from a graph. This problem involves analyzing the curve on the graph to determine the possible values of x (domain) and y (range). Suitable for students in Grades 9-11.

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