https://file.aiquickdraw.com/mathbot/file/1726021122574qnkffp1w.jpg

The graph in the image shows two lines with arrows extending indefinitely in certain directions. To determine the range of the graph, we must analyze the possible \(y\)-values that the graph covers.

1. The leftmost line starts at \(y = 1\) (since there is a hollow circle at \((1, 1)\)) and decreases downwards without bound, implying that all values below 1 are included.
2. The second line on the right extends upwards without bound, but starts from a point above \(y = 1\).

This means the graph covers all \(y\)-values from \( -\infty \) to \( 1 \), but it does not include any values above 1. Therefore, the range of this graph is \( (-\infty, 1] \), **not** \( [1, \infty) \).

Thus, the statement "The range of the graph below is \( [1, \infty) \)" is **False**.

Would you like more details or have any other questions?

Here are some related questions to expand on this concept:
1. What is the difference between domain and range in a graph?
2. How do you determine the domain of a function from a graph?
3. What is the meaning of the hollow circle in the context of range?
4. Can a graph have more than one range?
5. How do you find the range of more complex functions like quadratic functions?

**Tip:** Always pay close attention to open and closed circles in graphs, as they indicate whether certain points are included or excluded from the range.

The range of the graph below is [1, ∞).

Analyze the range of a function from a graph, focusing on the y-values and understanding how to interpret open and closed circles. Suitable for students in Grades 8-10.

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