Difference between revisions of "Graph of a function"
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== External links == | == External links == | ||
| − | * [https://en.wikipedia.org/wiki/Graph_of_a_function Graph of a function | + | * [https://en.wikipedia.org/wiki/Graph_of_a_function Graph of a function] @ Wikipedia |
[[Category:Functions]] | [[Category:Functions]] | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Latest revision as of 06:36, 14 September 2016
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
