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BUILT-IN MATHEMATICA SYMBOL
Plot[f, {x, xmin, xmax}]
generates a plot of f as a function of x from 
to 
.
Plot[{f1, f2, ...}, {x, xmin, xmax}]
plots several functions 
.
Details and Options
- Plot treats the variable x as local, effectively using Block.
- Plot has attribute HoldAll and evaluates f only after assigning specific numerical values to x.
- In some cases, it may be more efficient to use Evaluate to evaluate f symbolically before specific numerical values are assigned to x.
- No curve is drawn in any regions where f evaluates to None.
- Plot has the same options as Graphics, with the following additions and changes:
-
AspectRatio 1/GoldenRatio ratio of width to height Axes True whether to draw axes ClippingStyle None what to draw where curves are clipped » ColorFunction Automatic how to determine the coloring of curves ColorFunctionScaling True whether to scale arguments to ColorFunction EvaluationMonitor None expression to evaluate at every function evaluation Exclusions Automatic points in x to exclude ExclusionsStyle None what to draw at excluded points Filling None filling to insert under each curve FillingStyle Automatic style to use for filling MaxRecursion Automatic the maximum number of recursive subdivisions allowed Mesh None how many mesh points to draw on each curve MeshFunctions {#1&} how to determine the placement of mesh points MeshShading None how to shade regions between mesh points MeshStyle Automatic the style for mesh points Method Automatic the method to use for refining curves PerformanceGoal $PerformanceGoal aspects of performance to try to optimize PlotLegends None legends for curves PlotPoints Automatic initial number of sample points PlotRange {Full,Automatic} the range of y or other values to include PlotRangeClipping True whether to clip at the plot range PlotStyle Automatic graphics directives to specify the style for each curve RegionFunction (True&) how to determine whether a point should be included WorkingPrecision MachinePrecision the precision used in internal computations - Interactive labeling can be specified for curves using Tooltip, StatusArea, or Annotation.
- Plot[Tooltip[{f1, f2, ...}], {x, xmin, xmax}] specifies that the
should be displayed as tooltip labels for the corresponding curves. - Tooltip[f, label] specifies an explicit tooltip label for a curve.
- Typical settings for PlotLegends include:
-
None no legend Automatic automatically determine the legend "Expressions" use 
, 
, ... as the legend labels{lbl1,lbl2,...} use 
, 
, ... as the legend labelsPlaced[lspec,...] specify placement for the legend - Plot initially evaluates f at a number of equally spaced sample points specified by PlotPoints. Then it uses an adaptive algorithm to choose additional sample points, subdividing a given interval at most MaxRecursion times.
- You should realize that with the finite number of sample points used, it is possible for Plot to miss features in your function. To check your results, you should try increasing the settings for PlotPoints and MaxRecursion.
- On[Plot::accbend] makes Plot print a message if it is unable to reach a certain smoothness of curve.
- With Mesh->All, Plot will explicitly draw a point at every position on each curve where each function was sampled.
- The arguments supplied to functions in MeshFunctions and RegionFunction are x, y. Functions in ColorFunction are by default supplied with scaled versions of these arguments.
- The functions are evaluated all along each curve.
- With ClippingStyle->Automatic, a line is drawn at the top or bottom of the plotting area wherever a curve goes outside the range of the plot.
- With the default settings Exclusions->Automatic and ExclusionsStyle->None, Plot breaks curves at discontinuities it detects. Exclusions->None joins across discontinuities.
- Plot normally returns Graphics[{Line[...], ...}].
- With a Filling specification given, Plot returns Graphics[{GraphicsComplex[...], ...}].
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