# Graph

noun
1. mathematics
a visual representation of a function in the Cartesian coordinate system.
"The graph of the sine function looks like a wave."
Similar:
plot
2. graph theory
a collection of points, called vertices, and lines connecting some (possibly empty) subset of pairs of points, called edges.
"In networks, a graph is used to represent the connections between nodes."
verb
• mathematics
To plot or draw a representation of (data, a function, or a diagram) in a graphical form on a coordinate system.
"The students were asked to graph the equations."
Similar:
plot

## Description

A graph is a visual representation of a function or a set of data in the Cartesian coordinate system. It helps in understanding the behavior of the function or the trend in the data. The horizontal axis is usually denoted as -axis and the vertical axis as -axis. For example, the graph of the function is a parabola.

Graphs can be used to represent a wide variety of functions and data sets. The graph of a function can help you visualize properties of the function, such as its intercepts, maximum and minimum points, and intervals of increase and decrease.

The process of drawing the graph of a function or a set of data is known as graphing or plotting.

## Related Terms

In math, a plot is a visual representation of data points or a function on a coordinate system.

A function is a mathematical relationship between two sets, called the domain and the codomain, in which each element in the domain corresponds to exactly one element in the codomain. Functions are often represented by equations, graphs, or tables and can model real-world scenarios or abstract concepts.

The x-intercept of a graph is the point(s) at which the graph intersects the x-axis. In other words, it is the value of x when the function or equation's output (y-value) is zero.