2019-2020/Tsti2d/Analyse/Limites/3E_fonction_ref.tex

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\documentclass[a4paper,10pt]{article}
\usepackage{myXsim}
\title{Fonctions de références- Limites}
\tribe{Terminale Sti2d}
\date{Novembre 2019}
%\geometry{left=10mm,right=10mm, top=10mm}
%\pagestyle{empty}
\begin{document}
\begin{tikzpicture}[yscale=.5, xscale=.8]
\tkzInit[xmin=-5,xmax=5,xstep=1,
ymin=0,ymax=10,ystep=1]
\tkzGrid
\tkzAxeXY[up space=0.5,right space=.5]
\tkzFct[domain = -5:5, line width=1pt]{x**2}
\tkzText[draw,fill = brown!20](3,1){$f(x)=x^2$}
\end{tikzpicture}
\hfill
\begin{tikzpicture}[yscale=0.5, xscale=1]
\tkzInit[xmin=-4,xmax=4,xstep=1,
ymin=-10,ymax=10,ystep=2]
\tkzGrid
\tkzAxeXY[up space=0.5,right space=.5]
\tkzFct[domain = -5:5, line width=1pt]{x**3}
\tkzText[draw,fill = brown!20](1,-2){$f(x)=x^3$}
\end{tikzpicture}
\begin{tikzpicture}[yscale=.5, xscale=.8]
\tkzInit[xmin=-5,xmax=5,xstep=1,
ymin=-5,ymax=5,ystep=1]
\tkzGrid
\tkzAxeXY[up space=0.5,right space=.5]
\tkzFct[domain = -5:-0.01, line width=1pt]{1/x}
\tkzFct[domain = 0.01:5, line width=1pt]{1/x}
\tkzText[draw,fill = brown!20](-2,2){$f(x)=\frac{1}{x}$}
\end{tikzpicture}
\hfill
\begin{tikzpicture}[yscale=0.5, xscale=.8]
\tkzInit[xmin=-5,xmax=5,xstep=1,
ymin=-1,ymax=10,ystep=1]
\tkzGrid
\tkzAxeXY[up space=0.5,right space=.5]
\tkzFct[domain = -5:-0.01, line width=1pt]{1/x**2}
\tkzFct[domain = 0.01:5, line width=1pt]{1/x**2}
\tkzText[draw,fill = brown!20](3,3){$f(x)=\frac{1}{x^2}$}
\end{tikzpicture}
\begin{tikzpicture}[yscale=1, xscale=.8]
\tkzInit[xmin=-5,xmax=5,xstep=1,
ymin=0,ymax=5,ystep=1]
\tkzGrid
\tkzAxeXY[up space=0.5,right space=.5]
\tkzFct[domain = -5:5, line width=1pt]{exp(x)}
\tkzText[draw,fill = brown!20](2,1){$f(x)=\text{e}^{x}$}
\end{tikzpicture}
\hfill
\begin{tikzpicture}[yscale=1, xscale=1.5]
\tkzInit[xmin=0,xmax=5,xstep=1,
ymin=-3,ymax=3,ystep=1]
\tkzGrid
\tkzAxeXY[up space=0.5,right space=.5]
\tkzFct[domain = 0.01:5, line width=1pt]{log(x)}
\tkzText[draw,fill = brown!20](2,2){$f(x)=\ln(x)$}
\end{tikzpicture}
\begin{tikzpicture}[yscale=2, xscale=2]
\tkzInit[xmin=0,xmax=3,xstep=1,
ymin=0,ymax=3,ystep=1]
\tkzGrid
\tkzAxeXY[up space=0.5,right space=.5]
\tkzFct[domain = 0:5, line width=1pt]{sqrt(x)}
\tkzText[draw,fill = brown!20](2,2){$f(x)=\sqrt{x}$}
\end{tikzpicture}
\hfill
\begin{tikzpicture}[yscale=1.5, xscale=.8]
\tkzInit[xmin=-5,xmax=5,xstep=1,
ymin=-2,ymax=2,ystep=1]
\tkzGrid
\tkzAxeXY[up space=0.5,right space=.5]
\tkzFct[domain = -5:5, line width=1pt]{cos(x)}
\tkzText[draw,fill = brown!20](3,1){$f(x)=\cos{x}$}
\end{tikzpicture}
\end{document}