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Student[Calculus1]

 InversePlot
 plot an expression and its reflection through the line y=x

 Calling Sequence InversePlot(f(x), x, opts) InversePlot(f(x), x = a..b, opts) InversePlot(f(x), a..b, opts)

Parameters

 f(x) - algebraic expression in variable 'x' x - name; specify the independent variable a, b - algebraic expressions; specify the plot range opts - equation(s) of the form option=value where option is one of functionoptions, inverseoptions, lineoptions, showfunction, showinverse, showline, or Student plot options; specify options for the plot

Description

 • The InversePlot(f(x), x=a..b) command plots the expression and its inverse reflected through the line $y=x$.
 • If the independent variable can be uniquely determined from the expression, the parameter x need not be included in the calling sequence.
 • The default domain and range of the plot are found by taking the smallest interval which contains the interval $\left[a,b\right]$ and a possibly restricted range of the expression f(x) on that interval. If $a..b$ is not provided, the default interval $\left[-10,10\right]$ is used.  To control the horizontal and vertical ranges actually displayed in the plot, use the view option parameter.
 • The opts argument can contain any of the Student plot options or any of the following equations that set plot options.
 functionoptions = list
 A list of options for the plot of the expression $f\left(x\right)$.  By default, the expression is plotted as a solid line. For more information on plot options, see plot/options.
 inverseoptions = list
 A list of options for the plot of the inverse of the expression $f\left(x\right)$. By default, the inverse is plotted as a solid line. For more information on plot options, see plot/options.
 lineoptions = list
 A list of options for the plot of the line $y=x$. By default, this line is plotted as a dashed line. For more information on plot options, see plot/options.
 showfunction = true or false
 Whether the expression $f\left(x\right)$ is plotted.  By default, the value is true.
 showinverse = true or false
 Whether the inverse of $f\left(x\right)$ is plotted.  By default, the value is true.
 showline = true or false
 Whether the line $y=x$ is plotted.  By default, the value is true.
 caption = anything
 A caption for the plot.
 The default caption is constructed from the parameters and the command options. caption = "" disables the default caption. For more information about specifying a caption, see plot/typesetting.
 title = anything
 A title for the plot.
 The default title is constructed from the parameters and the command options. title = "" disables the default title. For more information about specifying a title, see plot/typesetting.

Examples

 > $\mathrm{with}\left({\mathrm{Student}}_{\mathrm{Calculus1}}\right):$
 > $\mathrm{InversePlot}\left({ⅇ}^{x},-1..1\right)$ > $\mathrm{InversePlot}\left(\mathrm{sin}\left(x\right)+x,\mathrm{functionoptions}=\left[\mathrm{thickness}=2\right],\mathrm{inverseoptions}=\left[\mathrm{color}=\mathrm{green}\right],\mathrm{showline}=\mathrm{false}\right)$ The command to create the plot from the Plotting Guide is

 > $\mathrm{InversePlot}\left(3{x}^{2}-x,x=-1..1\right)$ 