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LaTeX-examples/tikz/cubic-function-intermediate-value-theorem/cubic-function-intermediate-value-theorem.tex
Martin Thoma 7740f0147f Remove trailing spaces
The commands

find . -type f -name '*.md' -exec sed --in-place 's/[[:space:]]\+$//' {} \+

and

find . -type f -name '*.tex' -exec sed --in-place 's/[[:space:]]\+$//' {} \+

were used to do so.
2015-10-14 14:25:34 +02:00

64 lines
2.3 KiB
TeX

\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}
\usepackage{pgfplots}
\usepackage{units}
\pgfplotsset{compat=1.3}% <-- moves axis labels near ticklabels
% (respects tick label widths)
\usepackage{tikz}
\usetikzlibrary{arrows, positioning, calc, intersections, decorations.markings}
\usepackage{xcolor}
\definecolor{horizontalLineColor}{HTML}{008000}
\definecolor{verticalLineColor}{HTML}{FF0000}
\begin{document}
% Define this as a command to ensure that it is same in both cases
\newcommand*{\ShowIntersection}[2]{
\fill
[name intersections={of=#1 and #2, name=i, total=\t}]
[red, opacity=1, every node/.style={above left, black, opacity=1}]
\foreach \s in {1,...,\t}{(i-\s) circle (2pt)
node [above left] {\s}};
}
\begin{preview}
\begin{tikzpicture}
\begin{axis}[
label distance=0mm,
width=8cm, height=7cm, % size of the image
xmin= 40, % start the diagram at this x-coordinate
xmax= 180, % end the diagram at this x-coordinate
ymin=60, % start the diagram at this y-coordinate
ymax=170, % end the diagram at this y-coordinate
ylabel=y,
xlabel=x,
axis lines=left,
tick style={draw=none},
xticklabels={,,},
yticklabels={,,}
]
\addplot[name path global=a, domain=55:161, dotted, blue,
very thick,samples=500, label=$y=f(x)$]
{113/132078*x*x*x-11865/44026*x*x+1169437/44026*x-93155207/132078};
% ( 55 | 82.7344) and (161 | 156.011) are on the graph
\coordinate (b) at (axis cs: 55,170);
\coordinate (c) at (axis cs:161,170);
\coordinate (d) at (axis cs:161,82.7344);
\coordinate (e) at (axis cs:161,156.011);
\coordinate (a1) at (axis cs:55,111.494);
\coordinate (a2) at (axis cs:161,111.494);
\draw[verticalLineColor, thick, <->](a1) -- (a2);
\draw[verticalLineColor,dashed](b |- 0,0) -- (b);
\draw[verticalLineColor,dashed](c |- 0,0) -- (c);
\draw[horizontalLineColor,dashed, thick](d -| 0,0) -- (d);
\draw[horizontalLineColor,dashed, thick](e -| 0,0) -- (e);
% (100 | 111.494)
\coordinate (f) at (axis cs:100, 111.494);
\draw[red,dashed](f |- 0,0) -- (f);
\end{axis}
\end{tikzpicture}
\end{preview}
\end{document}