
Technically, the graph of a function is its Range (a.k.a. image). Informally, given a Function defined on a Domain , the graph of is defined as a Curve or Surface showing the values taken by over (or some portion of ),
Good routines for plotting graphs use adaptive algorithms which plot more points in regions where the function varies most rapidly (Wagon 1991, Math Works 1992, Heck 1993, WickhamJones 1994).
See also Curve, Extremum, Graph (Graph Theory), Histogram, Maximum, Minimum
References
Cleveland, W. S. The Elements of Graphing Data, rev. ed. Summit, NJ: Hobart, 1994.
Heck, A. Introduction to Maple, 2nd ed. New York: SpringerVerlag, pp. 303304, 1993.
Math Works. Matlab Reference Guide. Natick, MA: The Math Works, p. 216, 1992.
Tufte, E. R. The Visual Display of Quantitative Information. Cheshire, CN: Graphics Press, 1983.
Tufte, E. R. Envisioning Information. Cheshire, CN: Graphics Press, 1990.
Wagon, S. Mathematica in Action. New York: W. H. Freeman, pp. 2425, 1991.
WickhamJones, T. Computer Graphics with Mathematica. Santa Clara, CA: TELOS, pp. 579584, 1994.
Yates, R. C. ``Sketching.'' A Handbook on Curves and Their Properties. Ann Arbor, MI: J. W. Edwards, pp. 188205, 1952.