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The initial value of a function is also known as its y-intercept, which is the point where the graph intersects the y-axis (where \( x = 0 \)).

Looking at the graph, the line crosses the y-axis at \( y = 2 \). Therefore, the initial value of the function is **2**.

Would you like more details or have any further questions on this? Here are some related questions for further exploration:

1. What is the slope of the line shown in the graph?
2. How would you express the equation of this line?
3. How do you find the slope of a line from two points on a graph?
4. What does the initial value represent in real-world contexts?
5. How does changing the slope affect the graph of the line?

**Tip:** The initial value (y-intercept) can be quickly identified as the point where the line crosses the y-axis.

What is the initial value of the function shown in the graph?

Learn how to find the initial value (y-intercept) of a linear function from a graph. This problem demonstrates the core concept of y-intercepts and graphing, suitable for students in Grades 6-8.

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