Graph of a function: Difference between revisions

Revision as of 02:09, 8 March 2005

Revision as of 12:26, 21 March 2005

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In mathematics, the '''graph''' of a [[function (mathematics)|function]] ''f''(''x''₁, ''x''₂, ..., ''x''_''n'') is the collection of all pairstuples (''x''₁, ''x''₂, ..., ''x''_''n'', ''f''(''x''))₁, of..., the function''x''_''n'')). In particular, ''graph'' means the graphical representation of this collection, in the form of a [[curve]] or [[surface]], together with axes, etc. Graphing on a [[Cartesian coordinate system|Cartesian plane]] is sometimes referred to as '''curve sketching'''.

The graph of the function

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The graph of the cubic polynomial on the real line

:<math>f(x)=x^3-9x</math>

is {(''x'',''x''³-9''x'') : ''x'' is a real number}. If the set is plotted on a [[Cartesian coordinate system|Cartesian plane]], the result is

[[Image:cubicpoly.png]]