Let's analyze the graph to determine the values of $f(2)$ and $f(3)$.

1. $f(2)$:

   • At $x = 2$, the graph intersects with the y-axis at $y = 4$.
   • Therefore, $f(2) = 4$.

2. $f(3)$:

   • At $x = 3$, the graph intersects with the y-axis also at $y = 4$.
   • Therefore, $f(3) = 4$.

So, both $f(2)$ and $f(3)$ equal 4.

If you have any other questions or need further explanation, feel free to ask!

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Further Questions:

1. What does it mean when two consecutive points have the same function value?
2. How does the function $f(x)$ behave between $x = 2$ and $x = 3$?
3. Can you identify any other segments where $f(x)$ remains constant?
4. How would you describe the slope of the function between $x = 2$ and $x = 3$?
5. What would be the implication if $f(2)$ and $f(3)$ were different?

Tip: When analyzing a graph, always ensure you carefully read the values at specific points, as even small changes in the x-coordinate can significantly affect the function's output.