My Geogebra graph breaks with multiple errors

Question

Updated:

I want a graph that drops vertically about 1/3 of the way across and 2/3 across. When I input this into Texmaker it has multiple errors including

Dimension too large
Package PGF Math Error: I cannot calculate the logarithm of '0,0' 
(in '{2(0,0)^(3/2)-3(0,0)+1.4}').

Even the standalone doesn't work, so is it a package problem?

MWE:

\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{arrows} 
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=4.34618291761148cm,y=4.205741626794257cm]
\draw[->,color=black] (-0.1,0) -- (1.97,0);
\foreach \x in {,1}
\draw[shift={(\x,0)},color=black] (0pt,2pt) -- (0pt,-2pt);
\draw[color=black] (1.81,0.02) node [anchor=south west] { Order Quantity};
\draw[->,color=black] (0,-0.14) -- (0,2);
\foreach \y in {,1}
\draw[shift={(0,\y)},color=black] (2pt,0pt) -- (-2pt,0pt);
\clip(-0.1,-0.14) rectangle (1.97,2);
\draw[dash pattern=on 2pt off 2pt, smooth,samples=100,domain=0.01:1.9707826086956564] plot(\x,{2*(\x)^(3/2)-3*(\x)+2});
\draw[dash pattern=on 2pt off 2pt, smooth,samples=100,domain=0.01:1.9707826086956564] plot(\x,{2*(\x)^(3/2)-3*(\x)+1.7});
\draw[dash pattern=on 2pt off 2pt, smooth,samples=100,domain=0.01:1.9707826086956564] plot(\x,{2*(\x)^(3/2)-3*(\x)+1.4});
\draw[line width=1.2pt, smooth,samples=100,domain=0.01:0.6666666666666666] plot(\x,{2*(\x)^(3/2)-3*(\x)+2});
\draw[line width=1.2pt, smooth,samples=100,domain=0.6666666666666666:1.3333333333333333] plot(\x,{2*(\x)^(3/2)-3*(\x)+1.7});
\draw[line width=1.2pt, smooth,samples=100,domain=1.3333333333333333:1.9707826086956564] plot(\x,{2*(\x)^(3/2)-3*(\x)+1.4});
\draw [line width=1.2pt] (0.67,1.09)-- (0.67,0.79);
\draw [line width=1.2pt] (1.33,0.78)-- (1.33,0.48);
\draw (1.01,0.03) node[anchor=north west] {$Q^*$};
\draw (-0.06,0.79) node[anchor=north west] {$C^*$};
\draw (0.01,1.99) node[anchor=north west] {Average Cost per Unit Time};
\end{tikzpicture}

\end{document}

Answer 1

This happens because the domain for the plots is set to start at 0, where the logarithm isn't defined. Just set the domains to start at 0.01 or some other small value:

\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{arrows} 
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=4.34618291761148cm,y=4.205741626794257cm]
\draw[->,color=black] (-0.1,0) -- (1.97,0);
\foreach \x in {,1}
\draw[shift={(\x,0)},color=black] (0pt,2pt) -- (0pt,-2pt);
\draw[color=black] (1.81,0.02) node [anchor=south west] { Order Quantity};
\draw[->,color=black] (0,-0.14) -- (0,2);
\foreach \y in {,1}
\draw[shift={(0,\y)},color=black] (2pt,0pt) -- (-2pt,0pt);
\clip(-0.1,-0.14) rectangle (1.97,2);
\draw[dash pattern=on 2pt off 2pt, smooth,samples=100,domain=0.01:1.9707826086956564] plot(\x,{2*(\x)^(3/2)-3*(\x)+2});
\draw[dash pattern=on 2pt off 2pt, smooth,samples=100,domain=0.01:1.9707826086956564] plot(\x,{2*(\x)^(3/2)-3*(\x)+1.7});
\draw[dash pattern=on 2pt off 2pt, smooth,samples=100,domain=0.01:1.9707826086956564] plot(\x,{2*(\x)^(3/2)-3*(\x)+1.4});
\draw[line width=1.2pt, smooth,samples=100,domain=0.01:0.6666666666666666] plot(\x,{2*(\x)^(3/2)-3*(\x)+2});
\draw[line width=1.2pt, smooth,samples=100,domain=0.6666666666666666:1.3333333333333333] plot(\x,{2*(\x)^(3/2)-3*(\x)+1.7});
\draw[line width=1.2pt, smooth,samples=100,domain=1.3333333333333333:1.9707826086956564] plot(\x,{2*(\x)^(3/2)-3*(\x)+1.4});
\draw [line width=1.2pt] (0.67,1.09)-- (0.67,0.79);
\draw [line width=1.2pt] (1.33,0.78)-- (1.33,0.48);
\draw (1.01,0.03) node[anchor=north west] {$Q^*$};
\draw (-0.06,0.79) node[anchor=north west] {$C^*$};
\draw (0.01,1.99) node[anchor=north west] {Average Cost per Unit Time};
\end{tikzpicture}
\end{document}