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
- Continuous function
- Curve
- Function (mathematics)
- Mathematics
- Real-valued function
- Scalar (mathematics)
- Three-dimensional graph
- Two-dimensional graph
- Tuple
External links
- Graph of a function] @ Wikipedia
