Question

Which equation describes the function shown in the mapping diagram?

1. F(x) = 1/2x - 8
2. F(x) = 8x - 1/2
3. F(y) = 8x - 1/2
4. F(y) = 1/2x - 8

Answer 1

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.

1. **Identify Inputs and Outputs in the Diagram**: Check what values of x correspond to what values of F(x) or F(y).

2. **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.

3. **Evaluate Specific Points**: If the mapping diagram provides specific input-output pairs, you can substitute them into each equation to find a match.

4. **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!