Whigh relation is a function

A relation is considered a function if it satisfies the following condition: - **Each input (or domain element) is associated with exactly one output (or range element).** In more formal terms, if we have a set of ordered pairs \((x, y)\), the relation is a function if for every \(x\) in the domain, there is exactly one corresponding \(y\) in the range. This means that no two ordered pairs can have the same first element (input) with different second elements (outputs). ### Example: 1. The relation \(\{(1, 2), (2, 3), (3, 4)\}\) is a function because each input (1, 2, 3) has a unique output (2, 3, 4). 2. The relation \(\{(1, 2), (1, 3), (2, 4)\}\) is not a function because the input \(1\) is associated with two different outputs (2 and 3). ### Visual Representation: In a graph, a relation is a function if any vertical line drawn through the graph intersects it at most once. This is known as the **Vertical Line Test**. If a vertical line intersects the graph at more than one point, then the relation is not a function.