Graph of a function: Difference between revisions

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== Examples ==
[[Image:cubicpoly.png||right|thumb|300 px| Graph of the function {{nowrap|1=''f''(''x'') = ''x''<sup>3</sup> − 9''x''}}]]
 
=== Functions of one variable ===
The graph of the function.
: <math>f(x)=
\left\{\begin{matrix}
a, & \mbox{if }x=1 \\ d, & \mbox{if }x=2 \\ c, & \mbox{if }x=3.
\end{matrix}\right.
</math>
is
:{(1,a), (2,d), (3,c)}.
 
The graph of the cubic polynomial on the [[real line]]
: <math>f(x) = x^3 - 9x</math>
is
: {(''x'', ''x''<sup>3</sup> − 9''x'') : ''x'' is a real number}.
If this set is plotted on a Cartesian plane, the result is a curve (see figure).
{{clear}}
 
[[image:Three-dimensional graph.png|right|thumb|300px|Graph of the [[function (mathematics)|function]] {{nowrap|1=''f''(''x'', ''y'') = sin(''x''<sup>2</sup>) · cos(''y''<sup>2</sup>)}}.]]
 
=== Functions of two variables ===