\question  Draw the graph of $f(x)=|\log x|$.


\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\draw [color=cqcqcq,dash pattern=on 1pt off 1pt, xstep=1.0cm,ystep=1.0cm] (-1.3,-1.52) grid (5.48,4.3);
\draw[->,color=ccqqqq] (-1.3,0) -- (5.48,0);
\foreach \x in {-1,1,2,3,4,5}
\draw[shift={(\x,0)},color=ccqqqq] (0pt,2pt) -- (0pt,-2pt) node[below] {\footnotesize $\x$};
\draw[->,color=ccqqqq] (0,-1.52) -- (0,4.3);
\foreach \y in {-1,1,2,3,4}
\draw[shift={(0,\y)},color=ccqqqq] (2pt,0pt) -- (-2pt,0pt) node[left] {\footnotesize $\y$};
\draw[color=ccqqqq] (0pt,-10pt) node[right] {\footnotesize $0$};
\clip(-1.3,-1.52) rectangle (5.48,4.3);
\draw[smooth,samples=100,domain=0.000001:5.4] plot(\x,log(\x));



I need to plot $|\log x|$ graph in this portion... How do I do this..

  • 1
    Taking your code as-is, what should happen when you take the log of -1, as given on your last \draw line? – Mike Renfro Jul 27 '15 at 18:17
  • yes you are right.. – David Jul 27 '15 at 18:24
  • but I did for $x>1$ but i could not...@mike – David Jul 27 '15 at 18:25


In comments it's been requested to also plot an exponential.

You can use pgfplots:



\question  Draw the graph of $f(x)=\lvert\log x\rvert$.

  axis lines=middle,
\addplot[cyan,domain=0.001:4] {abs(log10(x))};
\addplot[red!70!black,domain=-2:1.4] {exp(x)};

\node[pin={90:$f(x)=\lvert\log x\rvert$},inner sep=0pt] 
  at (axis cs:{2,log10(2)}) {};
\node[pin={0:$f(x)=e^{x}$},inner sep=0pt] 
  at (axis cs:{1,exp(1)}) {};


enter image description here

  • May u give me in exam class itself.. I need to type a question paper .. – David Jul 27 '15 at 18:31
  • It'll work in the exam class. I basically came up with the same solution in parallel, and used exam. – Mike Renfro Jul 27 '15 at 18:35
  • @David As Mike Renfor said, my answer can be used with any document class you want. I updated with your exam class. – Gonzalo Medina Jul 27 '15 at 18:56
  • @gonzalo yes,, its working with a small mistake.. Once I try to draw $e^x$ in the same graph I got different...can you solve this.. – David Jul 28 '15 at 13:53

Here a pure tikz-solution. The axes are drawn using the ifnum command.

\documentclass[tikz, border=6mm]{standalone}


    \draw [<->] (0,2.5) node [above] {$y$} |- (4.5,0) node [right] {$x$};
    \foreach \x in {0,...,4} {
        \draw (\x,0) -- ++(0,-4pt) node [below] {$\x$};
            \draw (0,\x) -- ++(-4pt,0) node [left] {$\x$};
    \draw [thick, cyan, samples=100, domain=0.1:4] plot ({\x},{abs(ln(\x))});
    \draw ({2.5},{abs(ln(2.5))}) -- ++(-.5,.5) node [anchor=south] {$f(x)=\lvert\log x\rvert$};

rendered image


As percusse pointed out, there is also another possibility for graph/data visualization in tikz:

\documentclass[tikz, border=6mm]{standalone}


    \datavisualization [>=latex,
                        school book axes,
                        visualize as line=ln,
                        x axis={label=$x$},
                        y axis={label=$y$},
                        ln={style={thick, cyan},
                          label in data={
                            text={\scriptsize $f(x)=\lvert\log x\rvert$},
                            when=x is 3}
        data [set=ln, format=function] {
            var x : interval [0.1:4] samples 100;
            func y = abs(ln(\value{x});

rendered image 2

  • tikz already has a graph visualization option for such things. – percusse Jul 27 '15 at 19:40

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