https://file.aiquickdraw.com/mathbot/file/17299643267170croftnn.jpg

The graph shows a V-shaped function, likely an absolute value function. Observing the range, we see that the lowest point on the \( y \)-axis is at \( y = 0 \), and all other \( y \)-values are positive, indicating the function only takes on non-negative values.

Thus, the range of this function is:
\[
\{ y \mid y \geq 0 \}
\]

The correct answer from the options provided is:
- **\( \{ y \mid y \geq 0 \} \)**

Would you like a further breakdown of this solution or have other questions?

Here are five related questions:
1. What is the domain of this function?
2. How would the range change if the graph shifted downward by 3 units?
3. Can you describe the transformation that creates a V-shaped function like this one?
4. What is the effect of reflecting this function over the x-axis on its range?
5. How would the graph look if the slope of each line in the V-shape increased?

**Tip:** The range of a function represents all possible \( y \)-values that the function can take based on its graph.

Determine the range of an absolute value function by analyzing its graph. This problem teaches how to interpret the lowest point on the y-axis and understand the range of non-negative values. Suitable for middle school students.

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