4

I need to make a graphs as you can see in the picture, but I try many ways and I cannot get what I want. Any of you could help me?enter image description here

9

This solution assumes the plot is symmetric, (but, non-symmetric is the dashed plot.) Since no actual function is given, this solution provides a possible idea to draw. A solution using pgfpplots of function (x, 4-1/x) and use symmetric property with respect to y.

enter image description here

Code

\documentclass{article}
\usepackage[margin=1cm,paper size={15cm,10cm}]{geometry}
\thispagestyle{empty}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\begin{axis}[domain=0.01:4, samples=100,grid=major,
    restrict y to domain=-4:4,xlabel=$x$,ylabel=$y(x)$, legend pos=north west]
\addplot[red]  (x,4-1/x);
\addplot[red] (-x,4-1/x);
\addplot[dashed] (-x,4-3/x); % for non-symmetric branch
\end{axis}
\end{tikzpicture}
\end{document}
|improve this answer|||||
3

An easy-to-customize template with PSTricks.

\documentclass[pstricks,border=0pt,12pt,dvipsnames]{standalone}
\usepackage{amsmath}
\usepackage{pst-plot}
\usepackage[nomessages]{fp}

\FPeval\XMin{0-3}
\FPeval\XMax{3}
\FPeval\YMin{0-3}
\FPeval\YMax{4.5}

\FPeval\XOL{0-1/3} % of DeltaX
\FPeval\XOR{1/3} % of DeltaX
\FPeval\YOB{0-1/3} % of DeltaY
\FPeval\YOT{1/3} % of DeltaY

%\FPset\TrigLabelBase{3}
\FPeval\DeltaX{1}
\FPeval\DeltaY{.5}

\FPeval\AxisL{XMin+DeltaX*XOL}
\FPeval\AxisR{XMax+DeltaX*XOR}
\FPeval\AxisB{YMin+DeltaY*YOB}
\FPeval\AxisT{YMax+DeltaY*YOT}

\newlength\Width\Width=10cm
\newlength\Height\Height=8cm

\newlength\llx\llx=-5pt
\newlength\urx\urx=15pt
\newlength\lly\lly=-5pt
\newlength\ury\ury=15pt


\psset
{
    llx=\llx,
    lly=\lly,
    urx=\urx,
    ury=\ury,
    %xtrigLabels=true,
    %ytrigLabels=true,
    %trigLabelBase=\TrigLabelBase,
    labelFontSize=\scriptstyle,
    xAxisLabel=$x$,
    yAxisLabel=$y$,
    algebraic,
    plotpoints=100,
}

\def\f{4-1/abs(x)}


\begin{document}
\pslegend[rt]{%
    \color{NavyBlue}\rule{12pt}{1pt} & \color{NavyBlue} $y=4-1/\lvert x\rvert$ \\
        \color{Red}\rule{12pt}{1pt} & \color{Red} $y=4$
}
\begin{psgraph}
    [
        dx=\DeltaX,
        dy=\DeltaY,
        Dx=\DeltaX,
        Dy=\DeltaY,
        linecolor=gray,
        tickcolor=gray,
        ticksize=-3pt 3pt,
        axespos=top,
    ]{<->}(0,0)(\AxisL,\AxisB)(\AxisR,\AxisT){\dimexpr\Width-\urx+\llx}{!}%{\dimexpr\Height-\ury+\lly}
    \psaxes
    [
        dx=\DeltaX,
        dy=\DeltaY,
        labels=none,
        subticks=5,
        tickwidth=.4pt,
        subtickwidth=.2pt,
        tickcolor=Red!30,
        subtickcolor=ForestGreen!30,
        xticksize=\YMin\space \YMax,
        yticksize=\XMin\space \XMax,
        subticksize=1,
    ](0,0)(\XMin,\YMin)(\XMax,\YMax)
    \psclip{\psframe[linestyle=none,linewidth=0](\XMin,\YMin)(\XMax,\YMax)}
        \psplot[linecolor=NavyBlue]{\XMin}{-0.1}{\f}
        \psplot[linecolor=NavyBlue]{0.1}{\XMax}{\f}
        \psplot[linecolor=Red]{\XMin}{\XMax}{4}
    \endpsclip
\end{psgraph}
\end{document}

enter image description here

|improve this answer|||||

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.