graphs of functions

Graphs of functions visually represent the relationship between two variables, typically illustrated on a coordinate plane. The horizontal axis (x-axis) usually represents the input values, while the vertical axis (y-axis) shows the output values. Each point on the graph corresponds to a specific input-output pair. The shape of the graph can reveal important characteristics of the function, such as trends, peaks, and valleys. Common types of functions include linear (straight lines), quadratic (parabolas), and exponential (curves that rise or fall steeply). Understanding these graphs helps us analyze and predict behaviors in various fields, from science to economics.