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The question in the image asks for the "lowest value of the range of the function shown on the graph."

From observing the graph, the function is a "V"-shaped graph resembling the graph of an absolute value function, indicating that it's a piecewise linear function.

- The graph appears to reach a minimum point at \( y = -2 \), where the vertex of the "V" shape lies.
- The range of the function is all \( y \)-values that the function can take, starting from \( y = -2 \) and going upwards, as the arms of the graph extend upwards indefinitely.

Thus, the **lowest value of the range** is \( y = -2 \).

The correct answer to the question is: **-2**.

Would you like more details on understanding ranges of functions or the graph's structure?

Here are 5 questions to expand on this concept:
1. How can you determine the range of a function from its graph?
2. What is the domain of this function based on the graph?
3. How do absolute value functions typically behave in terms of shape and range?
4. What transformations can affect the minimum or maximum values of a function?
5. Can you express this function algebraically based on the graph?

**Tip**: When analyzing graphs, always focus on the critical points like maximums, minimums, and intercepts to understand the range and domain better.

What is the lowest value of the range of the function shown on the graph?

Discover how to determine the lowest value of the range of a function by analyzing the graph. In this example, a V-shaped graph helps identify the minimum range, essential for students in Grades 8-10.

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