https://file.aiquickdraw.com/mathbot/file/1726803863277mjlny8jp.jpg

The graph you provided shows two distinct linear segments forming a V-shape, which suggests an absolute value function. The vertex of the graph appears to be at the origin \((0, 0)\), and the slopes of the lines are consistent with a transformation of the standard absolute value function.

Based on the symmetry and the structure of the graph, the function that represents this graph is likely an absolute value function of the form:

\[
y = |x|
\]

This function represents the graph shown because the absolute value creates two lines: one with a positive slope for \(x > 0\) and one with a negative slope for \(x < 0\), both converging at the origin.

Would you like a detailed explanation of how absolute value functions work?

Here are some related questions to explore this further:
1. How does changing the coefficient inside the absolute value affect the graph's shape?
2. What happens when you add or subtract a constant outside the absolute value (e.g., \(y = |x| + 2\))?
3. How do you find the vertex of an absolute value function in general?
4. Can an absolute value graph be shifted left or right? If so, how?
5. What role do slope and vertex play in identifying an absolute value function?

**Tip:** Absolute value functions always create a V-shape, with the vertex being the turning point where the graph changes direction.

Which function best represents the graph shown below?

Learn how to identify and interpret the graph of an absolute value function, y = |x|, which creates a distinct V-shaped graph. Suitable for Grades 8-10, this problem introduces key concepts in algebra related to linear and absolute value functions.

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