Graph of a Function

The graph of a function is the set of ordered pairs (x, y) for which f of x equals y. When both the input and the output are real numbers, these pairs become points in the Cartesian plane that usually trace out a curve when plotted, a picture commonly called a plot. For a function of two variables, the graph instead consists of ordered triples (x, y, z) with f of x and y equal to z, forming a surface in three dimensions rather than a curve. The graph is a basic tool for visualizing a function across mathematics, science, engineering, finance and technology, and while modern set theory sometimes treats a function as identical to its graph, it remains useful to keep the two ideas separate, since the graph alone fixes a function's domain and range but not its codomain. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/