Generating Picture

Question

I'm trying to generate the picture that I created on Geogebra in Tikz code.

The picture came as luck as I was playing with some functions. Now, I'm using the following code to produce the picture on Tikz, but it does not compile the coordinates. Maybe it is something else it does not compile, that I can't see.

\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\draw[->,color=black] (0.7333308390918073,0.0) -- (5.239998617966438,0.0);
\foreach \x in {,1.0,2.0,3.0,4.0,5.0}
\draw[shift={(\x,0)},color=black] (0pt,2pt) -- (0pt,-2pt);
\clip(0.7333308390918073,-0.6933333333333337) rectangle (5.239998617966438,3.040000000000002);
\draw[smooth,samples=100,domain=2.0400031082342736:4.039997101821316] plot(\x, ((\x)-3.04)^(5)-2*((\x)-3.04)^(3)+(\x)-3.04+1.0]+0.66});
\draw [line width=1.2000000000000002pt,dash pattern=on 1pt off 1pt] (2.04,1.6600000000000001)-- (2.04,0.0);
\draw [line width=1.2000000000000002pt,dash pattern=on 1pt off 1pt] (4.04,1.6600000000000001)-- (4.04,0.0);
\draw (1.933331135241857,-0.026666666666666682) node[anchor=north west] {$a$};
\draw (3.9333316288252727,-0.04000000000000002) node[anchor=north west] {$\beta$};
\draw[smooth,samples=100,domain=4.066665128397554:5.066663234885912] plot(\x,((\x)-0.013333333333333641-5.05333)^(5)-2.0*((\x)-0.013333333333333641-5.05333)^(3)+(\x)-0.013333333333333641-5.05333-1.0]+1.8000033333333345});
\draw [line width=1.2000000000000002pt,dash pattern=on 1pt off 1pt] (2.04,1.6600000000000001)-- (2.04,2.84);
\draw[smooth,samples=100,domain=1.040000568108668:2.039999103789556] plot(\x, ((\x)-1.04)^(2)]+1.5733333333333346});
\begin{scriptsize}
\draw [fill=black] (2.04,1.6600000000000001) circle (1.5pt);
\draw [fill=black] (4.04,1.6600000000000001) circle (1.5pt);
\draw [color=black] (4.04,0.8181088825214906) circle (2.0pt);
\draw [color=black] (2.0399999999999996,2.5733333333333337) circle (2.0pt);
\end{scriptsize}
\end{tikzpicture}

Any suggestions?

By the way, how do we create random functions (graphs) in Tikz? Thanks!

Answer 1

One simplified attempt is drawn to serve as a suggestion and the Geogebra output is debugged and added. For the later, draw plot and dash pattern=on 1pt off 1pt are the main sources of errors.

A starting point for How to draw a random functon is here.

Code

\documentclass[border=10pt,varwidth]{standalone}
\usepackage{tikz}
\usetikzlibrary{positioning,arrows,calc,}
\begin{document}

Simplified equivalent 

\vspace{1cm}

\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45]
\draw[-,color=black] (0,0) -- (6,0);
\foreach \x in {1.0,2.0,3.0,4.0,5.0}
\draw[shift={(\x,0)},color=black] (0pt,2pt) -- (0pt,-2pt);
\node[below] at (2,0){$\alpha$};
\node[below] at (4,0){$\beta$};
\draw [fill=black]    (2.0,1.66)coordinate(a) circle (1.5pt);
\draw [fill=black]    (4.0,1.66)coordinate(b) circle (1.5pt);
\draw [draw]   (4.0,0.82)coordinate(c) circle (2.0pt);
\draw [draw]   (2.0,2.57)coordinate(d) circle (2.0pt);

\draw ($(a)-(1,0)$) to[out=0,in=-100,looseness=0.5](d);
\draw (a) to[bend right=50,looseness=1.5]node[above]{$c_f$} ($(a)!0.5!(b)$) to[bend left=50,looseness=1.5] (b);
\draw (c) to[bend right=50, looseness=1.5] ++(1,0);
\draw[dashed](2,0)--(d);
\draw[dashed](4,0)--(b);
\end{tikzpicture}

\vspace{1cm}

Geogebra output, 

%dash pattern=on 1pt off 1pt is changed to dashed options

\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\draw[->,color=black] (0.7333308390918073,0.0) -- (5.239998617966438,0.0);
\foreach \x in {,1.0,2.0,3.0,4.0,5.0}
\draw[shift={(\x,0)},color=black] (0pt,2pt) -- (0pt,-2pt);
\clip(0.7333308390918073,-0.6933333333333337) rectangle (5.239998617966438,3.040000000000002);
\draw[smooth,samples=100,domain=2.0400031082342736:4.039997101821316] plot(\x, {((\x)-3.04)^(5)-2*((\x)-3.04)^(3)+(\x)-3.04+1.0+0.66});
\draw [line width=1.2000000000000002pt, dashed] (2.04,1.6600000000000001)-- (2.04,0.0);
\draw [line width=1.2000000000000002pt,dashed] (4.04,1.6600000000000001)-- (4.04,0.0);
\draw (1.933331135241857,-0.026666666666666682) node[anchor=north west] {$a$};
\draw (3.9333316288252727,-0.04000000000000002) node[anchor=north west] {$\beta$};
\draw[smooth,samples=100,domain=4.066665128397554:5.066663234885912] plot(\x,{((\x)-0.013333333333333641-5.05333)^(5)-2.0*((\x)-0.013333333333333641-5.05333)^(3)+(\x)-0.013333333333333641-5.05333-1.0+1.8000033333333345});
\draw [line width=1.2pt,dashed] (2.04,1.66)-- (2.04,2.84);
\draw[smooth,samples=100,domain=1.040000568108668:2.039999103789556] plot(\x,{((\x)-1.04)^(2)+1.5733333333333346});
\begin{scriptsize}
\draw [fill=black] (2.04,1.6600000000000001) circle (1.5pt);
\draw [fill=black] (4.04,1.6600000000000001) circle (1.5pt);
\draw [color=black] (4.04,0.8181088825214906) circle (2.0pt);
\draw [color=black] (2.0399999999999996,2.5733333333333337) circle (2.0pt);
\end{scriptsize}
\end{tikzpicture}

\end{document}