To determine which equation describes the function shown in the mapping diagram, we would need to analyze the relationships between the values in the ovals x and y based on the arrows connecting them.
Since I don't have the image to reference, I’ll guide you on how to approach such problems:
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Identify the Input and Output: The left oval represents the input (function domain) values of x, while the right oval represents the output (function range) values of y. Check how values from x relate to y.
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Look at the Mapping: Each arrow indicates a transformation from an input value x to an output value y. Take note of the operations being performed (additions, subtractions, multiplications, or divisions).
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Construct the Function: Based on the transformation observed, you should be able to express y in terms of x. If y is being derived from x by linear operations, you can write a function like \( f(x) \).
Given the options provided, check if they represent direct relationships (like \( y = mx + b \) where \( m \) is the slope and \( b \) is the y-intercept).
- Evaluate the Choices: Pick the option that correctly describes the transformation you've identified.
If for example arrows from x to y suggest a transformation like \( y = \frac{1}{2}x - 8 \), then the correct answer would be:
- \( f(x) = \frac{1}{2}x - 8 \)
However, if the input-output mapping was more like, for instance, \( y = 8x - \frac{1}{2} \), then you would select that form.
Since I lack the specifics of the diagram, I recommend applying these steps directly to the arrows and values in your mapping.