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ReImPlot [f,{x,xmin,xmax}]

generates a plot of Re [f] and Im [f] as functions of x from xmin to xmax.

ReImPlot [{f1,f2,},{x,xmin,xmax}]

plots several functions.

ReImPlot [{,w[fi],},]

plots fi with features defined by the symbolic wrapper w.

ReImPlot [,{x}reg]

takes the variable x to be in the geometric region reg.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Sampling  
Labeling and Legending  
Presentation  
Options  
ClippingStyle  
ColorFunction  
ColorFunctionScaling  
Show More Show More
Exclusions  
ExclusionStyle  
Filling  
FillingStyle  
MaxRecursion  
Mesh  
MeshFunctions  
MeshShading  
MeshStyle  
PerformanceGoal  
PlotHighlighting  
PlotLabel  
PlotLabels  
PlotLegends  
PlotPoints  
PlotRange  
PlotStyle  
PlotTheme  
RegionFunction  
ReImLabels  
ReImStyle  
Applications  
Properties & Relations  
Possible Issues  
See Also
Related Guides
History
Cite this Page

ReImPlot [f,{x,xmin,xmax}]

generates a plot of Re [f] and Im [f] as functions of x from xmin to xmax.

ReImPlot [{f1,f2,},{x,xmin,xmax}]

plots several functions.

ReImPlot [{,w[fi],},]

plots fi with features defined by the symbolic wrapper w.

ReImPlot [,{x}reg]

takes the variable x to be in the geometric region reg.

Details and Options

Examples

open all close all

Basic Examples  (3)

Plot the real and imaginary parts of a complex-valued function of a real variable:

Plot several functions:

Label each curve:

Scope  (23)

Sampling  (9)

More points are sampled where the function changes quickly:

The plot range is selected automatically:

Use PlotRange to focus in on areas of interest:

The curve is split when there are discontinuities in the function:

Use Exclusions None to draw connected curves:

Use PlotPoints and MaxRecursion to control adaptive sampling:

The domain can be specified by a region:

Specify a domain using a MeshRegion :

Plot over an infinite domain:

Labeling and Legending  (8)

There are two standard legends:

Show the legends together:

Use legends with combined styles:

Explicitly label the individual curves:

Identify curves with wrappers:

Curves usually have interactive callouts showing the coordinates when you mouse over them:

Choose from multiple interactive highlighting effects:

Use Highlighted to emphasize specific points in a plot:

Highlight multiple points:

Presentation  (6)

Multiple pairs of curves are automatically colored to be distinct:

Provide explicit styling to different curves:

Add labels and a legend:

Create filled plots:

Use a plot theme:

Use ScalingFunctions to scale the axes:

Options  (65)

ClippingStyle  (2)

Omit clipped regions of the plot:

Show clipped regions with red lines:

ColorFunction  (4)

Color by a scaled coordinate and scaled coordinate, respectively:

Use a named color gradient:

ColorFunction has higher priority than PlotStyle :

Highlight part of the plot:

ColorFunctionScaling  (1)

No argument scaling on the left; automatic scaling on the right:

Exclusions  (2)

In this case, the exclusion comes from a branch cut discontinuity:

Indicate that no exclusions should be computed:

ExclusionStyle  (1)

Use red lines to connect portions of the curve and black points to indicate exclusions:

Filling  (4)

Use symbolic or explicit values:

Fill between curve 1 and the axis:

Fill between curves 1 and 2:

Fill between the real and imaginary parts of each function:

FillingStyle  (3)

Use different fill colors:

Fill with red below the axis and blue above:

Use a variable filling style obtained from a ColorFunction :

MaxRecursion  (1)

Each level of MaxRecursion adaptively subdivides the initial mesh into a finer mesh:

Mesh  (3)

Show the initial and final sampling meshes:

Use 10 mesh points evenly spaced in the direction:

Use an explicit list of values for the mesh in the direction:

MeshFunctions  (2)

Use a mesh evenly spaced in the and directions:

Show seven mesh levels in the direction (red) and 15 in the direction (blue):

MeshShading  (3)

Alternate red and blue arcs in the direction:

MeshShading has higher priority than PlotStyle for styling:

Use PlotStyle for some segments by setting MeshShading to Automatic :

MeshStyle  (2)

Use a red mesh in the direction:

Use a red mesh in the direction and a blue mesh in the direction:

PerformanceGoal  (2)

Generate a higher-quality plot:

Emphasize performance, possibly at the cost of quality:

PlotHighlighting  (8)

Plots have interactive coordinate callouts with the default setting PlotHighlighting Automatic :

Use PlotHighlighting None to disable the highlighting for the entire plot:

Use Highlighted [,None ] to disable highlighting for a single curve:

Move the mouse over the curve to highlight it with a ball and label:

Use a ball and label to highlight a specific point on the curve:

Move the mouse over the curve to highlight it with a label and droplines to the axes:

Use a ball and label to highlight a specific point on the curve:

Move the mouse over the plot to highlight it with a slice showing values corresponding to the position:

Highlight the curves at a fixed value:

Move the mouse over the plot to highlight it with a slice showing values corresponding to the position:

Use a component that shows the points on the curve closest to the position of the mouse cursor:

Specify the style for the points:

Use a component that shows the coordinates on the curve closest to the mouse cursor:

Use Callout options to change the appearance of the label:

Combine components to create a custom effect:

PlotLabel  (1)

Add an overall label to the plot:

PlotLabels  (6)

Specify text to label curves:

Modify the appearance of the labels:

Place the labels differently for each curve:

PlotLabels "Expressions" uses functions as curve labels:

Use callouts to identify the curves:

Use None to not add a label:

PlotLegends  (7)

Create a legend based on the functions:

Use "ReIm" to distinguish between the real and imaginary parts of the function:

Use "ReImExpressions" to show both:

Use a legend showing all the style combinations:

Make two different legends:

Modify the legend labels:

Generate a third legend:

PlotPoints  (1)

Use more initial points to get smoother curves:

PlotRange  (1)

The plot range is selected automatically:

Focus on a specified range of values:

PlotStyle  (3)

Explicitly specify the style for different curves and regions:

ReImStyle takes precedence over PlotStyle :

Combine with ReImStyle :

PlotTheme  (3)

Use a theme with bright colors:

Add a theme with a legend:

Change plot styles:

RegionFunction  (1)

Show the curve where :

ReImLabels  (2)

Modify the labels for the real and imaginary parts of a function using predetermined option values:

Specify custom labels for the real and imaginary parts of a function:

ReImStyle  (2)

By default, the real and imaginary parts are solid and dashed, respectively:

Modify the real and imaginary styles:

Applications  (7)

Plot Fourier transforms:

Plot the solution of a complex differential equation with initial conditions:

Plot the eigenvalues of a matrix as a function of a parameter:

Plot solutions of an equation as a function of a parameter:

Graph special functions:

Plot fractional derivatives of :

Plot the complex solution of the Schrödinger equation for a particle in a box:

Properties & Relations  (8)

ReImPlot is a special case of Plot :

Use AbsArgPlot to plot the magnitude and argument over the real numbers:

ComplexPlot shows the argument and magnitude of a function using color:

Use ComplexPlot3D to use the z axis for the magnitude:

Use ComplexListPlot to show the location of complex numbers in the plane:

ComplexContourPlot plots curves over the complexes:

ComplexRegionPlot plots regions over the complexes:

ComplexStreamPlot and ComplexVectorPlot treat complex numbers as directions:

Possible Issues  (1)

ScalingFunctions applies to the real and imaginary parts:

Wolfram Research (2019), ReImPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ReImPlot.html (updated 2023).

Text

Wolfram Research (2019), ReImPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ReImPlot.html (updated 2023).

CMS

Wolfram Language. 2019. "ReImPlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2023. https://reference.wolfram.com/language/ref/ReImPlot.html.

APA

Wolfram Language. (2019). ReImPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ReImPlot.html

BibTeX

@misc{reference.wolfram_2025_reimplot, author="Wolfram Research", title="{ReImPlot}", year="2023", howpublished="\url{https://reference.wolfram.com/language/ref/ReImPlot.html}", note=[Accessed: 19-November-2025]}

BibLaTeX

@online{reference.wolfram_2025_reimplot, organization={Wolfram Research}, title={ReImPlot}, year={2023}, url={https://reference.wolfram.com/language/ref/ReImPlot.html}, note=[Accessed: 19-November-2025]}

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