Graph Definition

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 set of vertices, or nodes, joined by edges, where any two vertices may or may not be connected.
    "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 function f(x)=x²-2x-3."
    Similar:
    plot

Explanation

A graph is a visual representation of a function or a set of data in the Cartesian coordinate system. For example, the graph of the function is a parabola.

Graph of y = x^2 - 2x - 3

In graph theory, a graph is a set of vertices, or nodes, joined by edges. Each edge joins a pair of vertices. Any two vertices may or may not be connected by an edge.

A graph of vertices and edges
A tree is one kind of graph.

Related Terms

Plot

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

Function

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.

x Intercept

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.

Vertex

A vertex is a point where two or more lines or edges meet.

Disable ads