How The graph of a function never has two different points with the same coordinate because?

The graph of a function never has two different points with the same coordinate because, by definition, each input (or x-coordinate) must correspond to exactly one output (or y-coordinate). If two points had the same x-coordinate but different y-coordinates, it would violate the fundamental property of a function, which states that each input maps to a unique output. Therefore, for a relation to be classified as a function, it must maintain this one-to-one mapping for all x-values.