source: pyromaths/trunk/fuentes/data/ex/lycee/tests/Vf1SensEtTableau.0.statement @ 423

Last change on this file since 423 was 423, checked in by mabarracus, 4 years ago

add sources from pyromaths 15.10

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1\exercice
2\begin{enumerate}
3\item Quel est le sens de variation de la fonction $f$ ? Répondre par une phrase en précisant les intervalles.
4\item Tracer les tableaux de variation des fonctions $f$ et $g$.
5\end{enumerate}
6\begin{center}
7\begin{asy}
8 import graph;
9 import interpolate;
10 unitsize(5mm);
11defaultpen(fontsize(9pt));
12real[] xpt,ypt;
13real [] xpt={-5,-4,-3,-2,-1,00,01,02,03,04,05};
14real [] ypt={04,02,00,02,03,02,01,02,00,-1,-2};
15xlimits(-6.2, 6.2);
16ylimits(-5.2, 5.2);
17xaxis(axis=BottomTop, p=invisible,
18ticks=Ticks(format="%%", Step=1, extend=true,
19pTick=gray+.5, ptick=dotted)
20);
21yaxis(axis=LeftRight, p=invisible,
22ticks=Ticks(format="%%", Step=1, extend=true,
23pTick=gray+.5, ptick=dotted)
24);
25xequals(L="$y$", 0, extend=false, arrow=Arrow(HookHead, size=9pt), p=black+1,
26ticks=Ticks(scale(.7)*Label(filltype=Fill(white)), Step=1, Size=3pt,
27end=false, endlabel=false, beginlabel=false, NoZero));
28yequals(L="$x$", 0, extend=false, arrow=Arrow(HookHead, size=9pt), p=black+1,
29ticks=Ticks(scale(.7)*Label(filltype=Fill(white)), Step=1, Size=3pt,
30end=false, endlabel=false, beginlabel=false, NoZero));
31draw(graph(xpt,ypt,Hermite(monotonic)),brown+1.5);
32labelx(L=scale(.7)*"$0$", (0,0), align=SW);
33label(L="$\mathcal{C}_f$", (-5,4), align=SW);
34\end{asy}
35\kern1cm
36\begin{asy}
37 import graph;
38 import interpolate;
39 unitsize(5mm);
40defaultpen(fontsize(9pt));
41real[] xpt,ypt;
42real [] xpt={-5,-4,-3,-2,-1,00,01,02,03,04,05};
43real [] ypt={04,04,04,04,03,01,02,00,-4,-2,-1};
44xlimits(-6.2, 6.2);
45ylimits(-5.2, 5.2);
46xaxis(axis=BottomTop, p=invisible,
47ticks=Ticks(format="%%", Step=1, extend=true,
48pTick=gray+.5, ptick=dotted)
49);
50yaxis(axis=LeftRight, p=invisible,
51ticks=Ticks(format="%%", Step=1, extend=true,
52pTick=gray+.5, ptick=dotted)
53);
54xequals(L="$y$", 0, extend=false, arrow=Arrow(HookHead, size=9pt), p=black+1,
55ticks=Ticks(scale(.7)*Label(filltype=Fill(white)), Step=1, Size=3pt,
56end=false, endlabel=false, beginlabel=false, NoZero));
57yequals(L="$x$", 0, extend=false, arrow=Arrow(HookHead, size=9pt), p=black+1,
58ticks=Ticks(scale(.7)*Label(filltype=Fill(white)), Step=1, Size=3pt,
59end=false, endlabel=false, beginlabel=false, NoZero));
60draw(graph(xpt,ypt,Hermite(monotonic)),brown+1.5);
61labelx(L=scale(.7)*"$0$", (0,0), align=SW);
62label(L="$\mathcal{C}_g$", (-5,4), align=SE);
63\end{asy}
64\end{center}
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