Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a real-world situation? Explain.
is a function because corresponds one
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To determine if a graph represents a function, we can use the Vertical Line Test. If a vertical line intersects the graph at more than one point, then the graph does not represent a function. A function must have only one output (y-value) for each input (x-value).
1. Graph A: If a vertical line can touch it only once at all points, then it’s a function.
2. Graph B: If a vertical line can touch it more than once at any point, then it’s not a function.
Regarding which graph is not a good representation of a real-world situation, think about context. For instance, a graph showing a negative height (below ground level) as a function of time might not represent a realistic situation.
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