To determine which equation describes the function shown in the mapping diagram, we typically need to analyze the relationships between input (x or y) and output values within the diagram itself. Since I do not have access to the mapping diagram, I can help guide you on how to choose an equation based on that data.
- If you notice that for every increase in \(x\), \(f(x)\) increases by a consistent amount (indicating a linear function), look for an equation in slope-intercept form \(f(x) = mx + b\).
- Identify if \(f\) is in terms of \(x\) or \(y\). The left-hand side of the equation indicates whether it is a function of \(x\) or \(y\).
- Consider the coefficients of \(x\) and the constant terms. For instance:
- The equation \(f(x) = 8x - 12\) signifies a slope of 8 and a y-intercept of -12.
- The equation \(f(x) = 12x - 8\) shows a different slope and intercept.
Assess the mapping relationships to see which equation matches the observed output based on the provided input values. If you provide specific values from the diagram, I can help you more specifically with that analysis.
If you need to pick an answer based solely on the options given, it may be necessary to review the context of the problem or equations to select the most reasonable choice.