\exercice*
\begin{enumerate}
\item
\begin{enumerate}
\item La fonction $f$ est \textbf{négative} sur  et \textbf{positive} sur $[-5~;~3]$.
\item
\begin{itemize}[leftmargin=*]
\item Sur $[-5~;~5]$ , le \textbf{maximum} de $g$ est $y = 4$. Il est \textbf{atteint en} $x = -5$.
\item Sur $[-5~;~5]$ , le \textbf{minimum} de $g$ est $y = -4$. Il est \textbf{atteint en} $x = 3$.
\end{itemize}
\end{enumerate}
\item\ 
\begin{center}
\begin{tabular}[t]{cc}
\begin{adjustbox}{valign=t}
\begin{asy}
 import graph;
 import interpolate;
 unitsize(5mm);
defaultpen(fontsize(9pt));
real[] xpt,ypt;
real [] xpt={-5,-3,-1,01,02,03,05};
real [] ypt={04,00,03,01,02,00,-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}
\end{adjustbox}
&
\begin{adjustbox}{valign=t}
\begin{asy}
 import graph;
 import interpolate;
 unitsize(5mm);
defaultpen(fontsize(9pt));
real[] xpt,ypt;
real [] xpt={-5,-2,00,01,02,03,05};
real [] ypt={04,04,01,02,00,-4,-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{adjustbox}
\end{tabular}
\end{center}
\end{enumerate}