使用 Tikz 绘制特征

Question

我怎样才能重现这个： https://i.stack.imgur.com/6thrh.png 用 tikz 吗？

\documentclass[tikz,border=3mm]{standalone}
\begin{document}
\begin{tikzpicture}[declare function={ft=0.1;
xl(\t)=\t+1;xr(\t)=0.5*\t+2;xc(\t)=1+sqrt(2*\t);}]
 \draw[-stealth] (0,0) -- (5,0);
 \draw[-stealth] (0,0) -- (0,5);
 \draw[red,semithick,name path=pl] plot[variable=\t,domain=0:2,smooth] ({xl(\t)},{\t});
 \draw[red,semithick,name path=pr] plot[variable=\t,domain=0:2,smooth] ({xr(\t)},{\t});
 \draw[red,semithick,name path=pc] plot[variable=\t,domain=2:4,smooth] ({xc(\t)},{\t});
\end{tikzpicture}
\end{document}