More points are sampled when the function changes quickly:

The plot range is selected automatically:

Ranges where the function becomes negative are excluded:

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

Use PlotPoints and MaxRecursion to control adaptive sampling:

Use PlotRange to focus in on areas of interest:

Use Exclusions to remove points or split the resulting curve:

Label curves with Labeled:

Place the labels relative to the curves:

Label curves with PlotLabels:

Place the label near the curve at an value:

Use a scaled position:

Specify the text position relative to the point:

Label curves automatically with Callout:

Place labels at specific locations:

Include legends for each curve:

Use Legended to provide a legend for a specific curve:

Use Placed to change the legend location:

Multiple curves are automatically colored to be distinct:

Provide explicit styling to different curves:

Add labels:

Create legends from the functions:

Specify labels for legends:

Provide an interactive Tooltip for each curve:

Create filled plots:

Use a theme with a frame, grid lines, and an automatic legend:

Use a more vibrant theme:

Create an overlay mesh:

Style the curve segments between mesh points:

Show multiple curves in a row of separate panels:

Use a column instead of a row:

Use multiple rows or columns:

Use ScalingFunctions to reverse the y axis:

Scale both x and y axes:

Omit clipped regions of the plot:

Show the clipped regions like the rest of the curve:

Show clipped regions with red lines:

Show clipped regions as thick at the bottom and red at the top:

Show clipped regions as red and thick:

Color by scaled coordinate and scaled coordinate, respectively:

Color a curve red when its absolute coordinate is above 1:

Fill with the color used for the curve:

ColorFunction has higher priority than PlotStyle for coloring the curve:

Use a color function that is red at powers of 10:

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

Scaling is done on a linear scale in the original coordinates:

Use a color function that is red at powers of 10:

Find the list of values sampled by LogLogPlot:

Show where LogLogPlot evaluates the function:

Count how many times the function is evaluated:

Use automatic methods for computing exclusions, in this case for a piecewise function:

Indicate that no exclusions should be computed:

Use dashed lines to indicate the vertical asymptotes:

Use blue points to highlight the exclusions:

Use symbolic or explicit values:

Overlapping fills by default combine using opacity:

Fill between curve 1 and the axis:

Fill between curves 1 and 2:

Fill between curves 1 and 2 with a specific style:

Fill between curves 1 and 2; use yellow when 1 is below 2 and green when 2 is above 1:

Fill between curves 1 and with yellow:

Use different fill colors:

Fill with opacity 0.5 yellow:

Fill with red below and blue above:

Use a variable filling style obtained from a ColorFunction:

Textual labels are shown at their actual sizes:

Image labels are automatically resized:

Specify a maximum size for textual labels:

Specify a maximum size for image labels:

Show image labels at their natural sizes:

The default sampling mesh:

Each level of MaxRecursion will subdivide the initial mesh into a finer mesh:

Show the initial and final sampling meshes:

Use 20 mesh levels evenly spaced in the unscaled direction:

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

Use a mesh evenly spaced in the and directions:

Mesh functions use the unscaled values in the and directions:

Use Log to scale the mesh functions:

Show 5 mesh levels in the direction (red) and 10 in the direction (blue):

Alternate red and blue segments of equal width in the direction:

Use None to remove segments:

MeshShading can be used with PlotStyle:

MeshShading has higher priority than PlotStyle for styling the curve:

Use PlotStyle for some segments by setting MeshShading to Automatic:

MeshShading can be used with ColorFunction:

Color the mesh the same color as the plot:

Use a red mesh in the direction:

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

Use big red mesh points in the direction:

Generate a higher-quality plot:

Emphasize performance, possibly at the cost of quality:

Add an overall label to the plot:

Specify text to label curves:

Place the labels above the curves:

Place the labels differently for each curve:

PlotLabels->"Expression" uses functions as curve labels:

Use callouts to identify the points:

Use None to not add a label:

Place each curve in a separate panel using shared axes:

Use a row instead of a column:

Use multiple columns or rows:

Prefer full columns or rows:

No legends are used by default:

Create a legend based on the functions:

Create a legend with placeholder text:

Specify labels for each curve:

PlotLegends picks up PlotStyle values automatically:

Use Placed to position legends:

Place legends inside:

Use LineLegend to modify the appearance of the legend:

Use more initial points to get a smoother curve:

Show the curve only where it is positive:

Use different style directives:

By default, different styles are chosen for multiple curves:

Explicitly specify the style for different curves:

PlotStyle can be combined with ColorFunction:

PlotStyle can be combined with MeshShading:

MeshStyle by default uses the same style as PlotStyle:

Use a theme with a frame, grid lines, and an automatic legend:

Turn off the grid lines:

Show the curve where :

Exclude the region where :

By default, both axes have a log scale:

Reverse the direction of the y axis:

Reverse the direction of both axes: