Use the image to answer the question.

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(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
f left parenthesis x right parenthesis equals Start Fraction 1 over 2 End Fraction x minus 8

f(y)=8x−12

Answer 1

To determine the correct equation that describes the function shown in the mapping diagram, we need to evaluate the relationships between the values in the left ovals (x-values) and the right ovals (y-values) indicated by the arrows.

Although there is no image present for evaluation, we can generally approach such problems by analyzing how the values transform from x to y.

1. Identify pairs of values: Look at the values in oval x and their corresponding transformed values in oval y.

2. Establish a pattern: Determine if there is a consistent addition, subtraction, multiplication, or division that changes each x-value into its corresponding y-value.

3. Formulate an equation: Depending on the pattern you find, you can write an equation that represents the transformation from x to y, noted as \( f(x) \) or \( f(y) \).

Without the specific values or arrows shown in your original question, I cannot give a definite answer. If you can provide either the values or the type of transformation observed (like doubling, halving, etc.), I would be able to accurately assist in identifying the correct equation.

Please let me know how I can help further!