Graph of a function

In mathematics, in reference to functions, the graph of a function f is the collection of all ordered pairs (x, f(x)).

Description

If the function input x is a scalar, the graph is a two-dimensional graph, and for a continuous function is a curve.

If the function input x is an ordered pair (x1, x2) of real numbers, the graph is the collection of all ordered triples (x1, x2, f(x1, x2)), and for a continuous function is a surface (see three-dimensional graph).

Informally, if x is a real number and f is a real-valued function, graph may mean the graphical representation of this collection, in the form of a line chart: a curve on a Cartesian plane, together with Cartesian axes, etc.

Graphing on a Cartesian plane is sometimes referred to as curve sketching.

See also

• Asymptote
• Chart
• Concave function
• Continuous function
• Contour plot
• Convex function
• Critical point
• Curve
• Derivative
• Epigraph
• Function (mathematics)
• Mathematics
• Real-valued function
• Scalar (mathematics)
• Slope
• Solution point
• Stationary point
• Tetraview
• Three-dimensional graph
• Two-dimensional graph
• Tuple
• Vertical translation
• y-intercept

External links

• Graph of a function @ Wikipedia