To determine which equation describes the function shown in a mapping diagram, we typically need to analyze the relationships between the input (x or y) and the output (F(x) or F(y)). Since I can't see the mapping diagram you are referring to, I'll guide you on how to approach solving this problem.
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Identify Inputs and Outputs in the Diagram: Check what values of x correspond to what values of F(x) or F(y).
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Check the Structure of Each Equation: Each option shows a linear function. You can compare the form \( F(x) = mx + b \) or \( F(y) = mx + b \) with what you've observed in the mapping diagram.
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Evaluate Specific Points: If the mapping diagram provides specific input-output pairs, you can substitute them into each equation to find a match.
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Analyze Slopes and Intercepts: The slope and y-intercept from the equations can provide clues. For example:
- If the equation has a positive slope, then as x increases, F(x) should also increase.
- If the equation shows a negative slope, the opposite relationship should exist.
Please provide any specific values or characteristics from the mapping diagram, and I can help identify which equation is correct!