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\begin{tikzpicture}
  \begin{axis}[
  axis lines=middle,
  x=8mm,
  y=4mm,
  ytick={0,-2,-3},
  title={$f(x)=x^{2/3}$},
  xlabel=$x$,
  ylabel=$y$]
  \addplot[domain=0:2, very thick] ({x},{-3*exp(x/3)-.5*exp(x/2)});
  \addplot[domain=0:7, very thick] ({x},{-3*exp(x/3)+1*exp(x/2)});
  \addplot[domain=0:2, very thick] ({x},{-3*exp(x/3)+3*exp(x/2)});
  \end{axis}
\end{tikzpicture}