https://r2.erweima.ai/mathbot/image/1726278838778t2bwlzji.jpg

To solve the expression from the image:

\[
\frac{f(0) - 3f(2)}{2f(1) - 4}
\]

we need to read the function values \( f(0) \), \( f(1) \), and \( f(2) \) from the provided graph.

### Step-by-Step Process:

1. **Determine \( f(0) \)**:  
   From the graph, locate the value of the function when \( x = 0 \). It appears that \( f(0) = 0 \).

2. **Determine \( f(1) \)**:  
   Find the function value when \( x = 1 \). From the graph, it looks like \( f(1) = -2 \).

3. **Determine \( f(2) \)**:  
   At \( x = 2 \), the graph shows \( f(2) = 1 \).

Now that we have these values, we can substitute them into the given expression:

\[
\frac{f(0) - 3f(2)}{2f(1) - 4} = \frac{0 - 3(1)}{2(-2) - 4}
\]

### Simplifying the Expression:

\[
\frac{0 - 3}{2(-2) - 4} = \frac{-3}{-4 - 4} = \frac{-3}{-8} = \frac{3}{8}
\]

The final value of the expression is \( \frac{3}{8} \), which means the provided answer "2" is incorrect.

Would you like more details, or do you have any questions? 

Here are some additional questions for exploration:
1. How can we confirm the accuracy of reading values from a graph?
2. How does the behavior of the function affect the results?
3. What would happen if we shifted the graph up or down?
4. How does calculating negative values of the function change the overall expression?
5. What if the function had a different form (e.g., quadratic or exponential)?

**Tip:** Always double-check values taken from graphs by zooming in or clarifying the scale used.

De la siguiente figura determinar: f(0) - 3f(2) / 2f(1) - 4

Solve the mathematical expression involving function values f(0), f(1), and f(2) from a graph. This problem involves key concepts like graph interpretation and basic algebra. Suitable for high school students in Grades 9-11.

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