To determine which equation describes the function shown in the mapping diagram, we need more context or information about the mapping diagram itself. However, I can analyze the provided options and help you understand the relationships they represent.
The provided options are:
- \( f(x) = 12x - 8 \)
- \( f(x) = \frac{1}{2}x - 8 \)
- \( f(y) = 8x - 12 \)
- \( f(y) = 12x - 8 \)
- \( f(y) = \frac{1}{2}x - 8 \)
- \( f(x) = 8x - 12 \)
To find the right one, you should check which equation matches the output values from the inputs given in the mapping diagram. Look for patterns, slopes, or constants that correlate with the corresponding input values.
If you can share the actual points from the mapping diagram or the pattern it represents, I could provide a more accurate answer.