\exercice
\begin{multicols}{2}
\begin{enumerate}
\item Quels sont les extrema de la fonction $f$ ?
\item Quel est le minimum de $f$ sur l'intervalle $[0~;~3]$ ?
\item Quels sont les extrema de la fonction $g$ ?
\item Quels sont les extrema de $g$ sur l'intervalle $[-3~;~2]$ ?
\end{enumerate}
\end{multicols}
\begin{center}
\begin{asy}
 import graph;
 import interpolate;
 unitsize(5mm);
defaultpen(fontsize(9pt));
real[] xpt,ypt;
real [] xpt={-5,-4,-3,-2,-1,00,01,02,03,04,05};
real [] ypt={04,02,00,02,03,02,01,02,00,-1,-2};
xlimits(-6.2, 6.2);
ylimits(-5.2, 5.2);
xaxis(axis=BottomTop, p=invisible,
ticks=Ticks(format="%%", Step=1, extend=true,
pTick=gray+.5, ptick=dotted)
);
yaxis(axis=LeftRight, p=invisible,
ticks=Ticks(format="%%", Step=1, extend=true,
pTick=gray+.5, ptick=dotted)
);
xequals(L="$y$", 0, extend=false, arrow=Arrow(HookHead, size=9pt), p=black+1,
ticks=Ticks(scale(.7)*Label(filltype=Fill(white)), Step=1, Size=3pt,
end=false, endlabel=false, beginlabel=false, NoZero));
yequals(L="$x$", 0, extend=false, arrow=Arrow(HookHead, size=9pt), p=black+1,
ticks=Ticks(scale(.7)*Label(filltype=Fill(white)), Step=1, Size=3pt,
end=false, endlabel=false, beginlabel=false, NoZero));
draw(graph(xpt,ypt,Hermite(monotonic)),brown+1.5);
labelx(L=scale(.7)*"$0$", (0,0), align=SW);
label(L="$\mathcal{C}_f$", (-5,4), align=SW);
\end{asy}
\kern1cm
\begin{asy}
 import graph;
 import interpolate;
 unitsize(5mm);
defaultpen(fontsize(9pt));
real[] xpt,ypt;
real [] xpt={-5,-4,-3,-2,-1,00,01,02,03,04,05};
real [] ypt={04,04,04,04,03,01,02,00,-4,-2,-1};
xlimits(-6.2, 6.2);
ylimits(-5.2, 5.2);
xaxis(axis=BottomTop, p=invisible,
ticks=Ticks(format="%%", Step=1, extend=true,
pTick=gray+.5, ptick=dotted)
);
yaxis(axis=LeftRight, p=invisible,
ticks=Ticks(format="%%", Step=1, extend=true,
pTick=gray+.5, ptick=dotted)
);
xequals(L="$y$", 0, extend=false, arrow=Arrow(HookHead, size=9pt), p=black+1,
ticks=Ticks(scale(.7)*Label(filltype=Fill(white)), Step=1, Size=3pt,
end=false, endlabel=false, beginlabel=false, NoZero));
yequals(L="$x$", 0, extend=false, arrow=Arrow(HookHead, size=9pt), p=black+1,
ticks=Ticks(scale(.7)*Label(filltype=Fill(white)), Step=1, Size=3pt,
end=false, endlabel=false, beginlabel=false, NoZero));
draw(graph(xpt,ypt,Hermite(monotonic)),brown+1.5);
labelx(L=scale(.7)*"$0$", (0,0), align=SW);
label(L="$\mathcal{C}_g$", (-5,4), align=SE);
\end{asy}
\end{center}