Use the image to answer the question.

To determine which equation describes the function shown in the mapping diagram, we need to analyze the relationships of the values in the left oval (x) and the right oval (y) based on the arrows that connect them.

Unfortunately, I cannot see the image you referenced, so I can't directly analyze the specific mappings. However, I can guide you on how to determine the correct function.

1. **Identify the Input and Output Values**: Look at the values in oval x (input) and their corresponding arrows to the values in oval y (output).

2. **Establish the Relationship**: For each arrow from \( x \) to \( y \), check the numerical relationship. In some cases, you may see a pattern where each output value is derived from the input value by using an arithmetic operation (like multiplication, addition, subtraction).

3. **Formulate the Equation**: If, for example, you determine that each output \( y \) is equal to some multiple of the input \( x \) plus or minus a number, you can derive the function \( f(x) \).

If you determine that the relationship is such that \( y = \frac{1}{2}x - 8 \), you would select:
\[ f(x) = \frac{1}{2}x - 8. \]

If it turns out to be \( y = 8x - \frac{1}{2} \), then you would select:
\[ f(y) = 8x - \frac{1}{2}. \]

By following these steps, you should be able to identify the correct equation. If you can share the specific mappings or values shown in the image, I could provide more targeted help.