Single Asymptote, Randomized Graph
The information contained here can be used for graphing an
asymptotic function using Mathematica syntax. Because perldefined variables are used to generate this function, the code
contained within the <waplot> tags cannot be copied/pasted into
Mathematica. See QID Template3 1.Plot.02a.
There are many other options available that are not used here.
For a complete list of available options, see the following link.
http://reference.wolfram.com/language/ref/Plot.html?q=Plot
<waplot type='MathematicaSyntax'>
Plot[1/(x + $va), {x, -11,11}, PlotRange -> {{-10,10},
{-10,10}}, AxesLabel -> {x, y}, AspectRatio->
Automatic, PlotStyle -> Directive[Red, Thick],
Exclusions->{-$va}]
</waplot>
Code
Required?
Meaning
Yes
All the graph code will be placed within these opening and
closing tags. The type='MathematicaSyntax' allows the
use of raw Mathematica code to be placed within these
tags.
Yes
Mathematica syntax that specifies what type of graphing
will be used.
Yes
Function to be graphed. Note that the “y = ” is not
necessary. Any expression entered here is assumed to be
of the form y = expression. The perl variable $va has been
declared within the <eqn> block of the question editor and
can be entered here without any kind of tag.
Yes
The domain the independent variable is to take on. It is a
good practice to extend this slightly beyond the viewing
window so it doesn’t appear to randomly stop. This can
also be defined to be less than the viewing window, which
is helpful when graphing piecewise defined functions.
PlotRange->{{-10,10}, {-10,10}}
No
Defines the viewing window; given as {{xmin, xmax}, {ymin,
ymax}}. If this is not specified, Mathematica will choose
these values, which varies by the function.
AxesLabel->{x, y}
No
Defines what the axes labels will be.
No
Specifies the ratio of height to width for a given plot. The
word Automatic or a numerical value can be used. If this is
not set, the default does not produce a square viewing
window even if the horizontal and vertical plot range values
are the same.
No
Defines how the graphed function should appear. There
are too many specific options to list here, but the color,
dashing, and thickness of the function can all be set. See
this Mathematica documentation page:
http://reference.wolfram.com/language/ref/PlotStyle.html
No
Specification for any values at which a vertical asymptote
occurs; understood to be values of the given independent
variable. For functions with multiple vertical asymptotes, a
comma-separated list of values can be given. If this
parameter is not used, the asymptote will be drawn in the
same manner as indicated in PlotStyle.
<waplot
type='MathematicaSyntax'>
</waplot>
Plot[ ]
1/(x + $va)
{x, -11,11}
AspectRatio - > Automatic
PlotStyle->Directive[Red, Thick]
Exclusions->{-$va}