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The image contains a question that requires analyzing a graph of a piecewise function. Here's what I can see from the image:

- The function appears to be a piecewise linear function, with the graph showing two distinct lines connected at a vertex, forming a "V" shape. 
- The question asks, **"What is the function?"**
- The graph appears to have two slopes:
  - One negative slope on the left side.
  - One positive slope on the right side.

The general form of a piecewise function can be written as:

\[
f(x) = 
\begin{cases} 
\text{slope}_1 \cdot x + \text{intercept}_1 & \text{for } x < \text{vertex} \\
\text{slope}_2 \cdot x + \text{intercept}_2 & \text{for } x \geq \text{vertex}
\end{cases}
\]

### Analyzing the graph:
- The vertex seems to be at \( (0, 0) \), which means the piecewise function changes behavior at \( x = 0 \).
- The line on the left (for \( x < 0 \)) has a negative slope, likely \( -1 \), and passes through the origin.
- The line on the right (for \( x \geq 0 \)) has a positive slope, likely \( 1 \), and also passes through the origin.

Thus, the function can be represented as:

\[
f(x) = 
\begin{cases} 
-1 \cdot x & \text{for } x < 0 \\
1 \cdot x & \text{for } x \geq 0
\end{cases}
\]

This is the piecewise definition of the absolute value function \( f(x) = |x| \), but split into two linear expressions.

Would you like to explore this function in more detail, or do you have further questions?

### Related Questions:
1. What are the domain and range of the piecewise function?
2. How do you find the vertex of a piecewise function graphically?
3. Can you identify the slope from a graph without any points given?
4. How can you write a general form of a piecewise function?
5. How does the graph of an absolute value function differ from other linear graphs?

**Tip:** Always identify key points on a graph, such as vertices and intercepts, to better understand the function.

What is the function? (Referencing a graph that shows a piecewise linear function with two distinct slopes forming a 'V' shape)

Learn how to analyze and define a piecewise linear function from a graph. This problem focuses on the slopes and the vertex of the function, forming a 'V' shape, suitable for students in Grades 9-10.

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