How are ordered pairs of function used to create the graph of the function?

Ordered pairs of a function, typically expressed as (x, f(x)), represent the relationship between input values (x) and their corresponding outputs (f(x)). By plotting these pairs on a coordinate plane, each point reflects the function's behavior at specific inputs. Connecting these points helps visualize the function's overall shape and trends, allowing for a better understanding of its properties, such as continuity, increasing or decreasing behavior, and intercepts. This graphical representation serves as an essential tool for analyzing and interpreting functions.