\setlength{\unitlength}{1cm}
\linethickness{1.5pt}
\centering
\begin{Picture}(-5,-5)(6,5)
\externalaxes\makenotics
\cartesiangrid(-4.5,-4.5)(4.5,4.5)
\pictcolor{red}
\PlotFunction{\IDENTITYfunction}{-4.5}{4.5}
\Put[tr](4.5,4.5){$y=x$}

\DIVIDE{1}{4.5}{\minx}
\pictcolor{magenta}
\PlotFunction[10]{\RECIPROCALfunction}{\minx}{4.5}
\PlotFunction[10]{\RECIPROCALfunction}{-\minx}{-4.5}
\Put[r](4.5,\minx){$y=1/x$}

\SQRT{4.5}{\maxx}
\pictcolor{cyan}
\PlotFunction[10]{\SQUAREfunction}{-\maxx}{\maxx}
\Put[tr](\maxx,4.5){$y=x^2$}

\pictcolor{blue}
\PlotFunction[10]{\CUBEfunction}{-1.6509}{1.6509}
\Put[t](1.6509,4.5){$y=x^3$}
\end{Picture}
