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Question 1 If every vertical line drawn through the graph of a relation touches the graph at most once, what can we conclude? O The relation is a function. O The relation is not a function.

Ask by Moran Smith. in the United States
Mar 14,2025

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The relation is a function.

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The Deep Dive

If every vertical line drawn through the graph of a relation touches the graph at most once, we can conclude that the relation is a function. This principle is often referred to as the "vertical line test,” which effectively helps determine whether a relation can indeed be classified as a function based on its graphical representation. In practical terms, this means that for any input (or x-value), there is exactly one output (or y-value). This property is crucial in fields like mathematics and computer science, as functions serve as foundational components for algorithms and equations, allowing us to model real-world scenarios predictively and efficiently!

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