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improved cubic function design a lot

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Martin Thoma 2012-08-30 11:54:33 +02:00
parent c1ea9e52e9
commit 2d68e35461
1 changed files with 32 additions and 8 deletions
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40
tikz/cubic-function-intermediate-value-theorem/cubic-function-intermediate-value-theorem.tex
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@ -2,8 +2,15 @@
\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}
@ -19,11 +26,12 @@
\begin{preview}
\begin{tikzpicture}
\begin{axis}[
%width=15cm, height=15cm, % size of the image
%xmin= 0, % start the diagram at this x-coordinate
%xmax= 250, % end the diagram at this x-coordinate
%ymin=-7, % start the diagram at this y-coordinate
%ymax= 7, % end the diagram at this y-coordinate
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,
@ -31,9 +39,25 @@
xticklabels={,,},
yticklabels={,,}
]
\addplot[name path global=a, domain=30:250, red, thick,samples=500]
{-0.00192*x*x*x+0.85*x*x-121.92*x+5815.75};
% {-226/117649*x*x*x+100005/117649*x*x-14343768/117649*x+684216906/117649};
\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}