https://file.aiquickdraw.com/mathbot/file/1726263626984uawth8nt.jpg

The graph provided in the image shows a curve representing the function \( y = f(x) \). You are asked to find the value of \( f(2) \) based on the graph.

To solve this:

1. Locate \( x = 2 \) on the horizontal axis.
2. From \( x = 2 \), trace vertically upwards to where it intersects the curve.
3. Check the corresponding \( y \)-value where the curve and the vertical line meet.

From the graph, when \( x = 2 \), the curve intersects at \( y = 4 \). Therefore:
\[
f(2) = 4
\]

Thus, the correct answer is **C: 4**.

Do you need more details or have any other questions?

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Here are 5 related questions for further practice:

1. What is \( f(1) \) based on the graph?
2. What type of function could represent the curve (e.g., quadratic, cubic)?
3. If \( f(x) = ax^2 + bx + c \), how can we determine the values of \( a \), \( b \), and \( c \)?
4. How does the behavior of the function change as \( x \) increases beyond 3?
5. How can you determine the slope of the curve at \( x = 2 \)?

**Tip:** When analyzing graphs, always ensure to carefully check the exact values of the intersections with the axes for precise calculations.

If the graph represents the curve of the function y = f(x), what is the value of f(2)?

Learn how to find the value of f(2) using a graph of the function y = f(x). This problem focuses on understanding function evaluation and graph interpretation. Suitable for students in Grades 7-9.

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