Use the image to answer the question.

Two side-by-side shaded ovals labeled x and y each display a list of values. Four arrows point from the values in the left oval, x, to the values in the right oval, y.

Which equation describes the function shown in the mapping diagram?

(1 point)
Responses

f(y)=8x−12
f left parenthesis y right parenthesis equals 8 x minus Start Fraction 1 over 2 End Fraction

f(x)=8x−12
f left parenthesis x right parenthesis equals 8 x minus Start Fraction 1 over 2 End Fraction

f(y)=12x−8
f left parenthesis y right parenthesis equals Start Fraction 1 over 2 End Fraction x minus 8

f(x)=12x−8

1 answer

Without the image of the mapping diagram, I can't provide the exact function that describes the relationship between x and y based on the arrows and the values listed in the ovals. However, I can guide you through how to determine which equation might be correct.

To determine the correct equation, you would typically look at the values in oval x that lead to the corresponding values in oval y as indicated by the arrows. The general steps are:

  1. Identify the relationship: Look for a pattern or a formula that links the x values to the y values.
  2. Test the options: Substitute values from x into the proposed equations to see which one gives the corresponding y values shown in oval y.
  3. Look for patterns: Check if the differences or ratios between the x and y values suggest a linear function.

Once you find an equation that consistently maps x to y using the given arrows, that will be the correct answer.

If you can describe the mapping or provide the values in the ovals, I could help you more specifically.

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