To determine the correct equation describing the function shown in a mapping diagram, we need to identify how the values in Oval x relate to the values in Oval y. The equation will typically relate the input values (x) to the output values (y).
Given the available choices, let's analyze them:
- f(y) = 12x - 8
- f(y) = \(\frac{1}{2}x - 8\)
- f(x) = 12x - 8
- f(x) = \(\frac{1}{2}x - 8\)
- f(x) = 8x - 12
- f(y) = 8x - \(\frac{1}{2}\)
If the arrows indicate that for given values of x (from Oval x), the corresponding values of y (in Oval y) are achieved through a specific operation (like multiplication, addition, etc.), identifying the relationships between x and y will point to the right function.
You would typically see a visual representation of the arrows, showing the transformations going from x to y.
If the transformation function or relationship is clear, you would select the corresponding choice.
If we assume that the function involves regular transformations (like scalings and translations), typically y depends on x, and you would expect functions to be written as \(f(x)\).
Without any specific data from the image or description of the relationships displayed in the mapping, I cannot definitively select the correct response. However, if you observe a linear transformation pattern, see which equation reflects the transformation accurately.
If you can provide the specific input-output pairs linked by the arrows, I could help you determine the correct function!