2021-2022/2nd/09_Fonctions_tableaux/1E_qui_est_ce_fonctions.tex

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\documentclass[a4paper,10pt]{article}
\usepackage{myXsim}
\usepackage{pgfplots}
\pgfplotsset{compat = newest}
\usepgfplotslibrary{external}
\tikzexternalize
\author{Benjamin Bertrand}
\title{Fonctions tableaux - Exercices}
\date{2021-10-18}
\pagestyle{empty}
\begin{document}
\begin{tikzpicture}
% {0.1*(x+4)*(x+1)*(x-5)}
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=1,
legend pos = north west,
legend entries={$f(x)$}
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{0.1*(x+4)*(x+1)*(x-5)};
\end{axis}
\end{tikzpicture}
\hspace{2cm}
\begin{tikzpicture}
% 1/x
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=1,
legend pos = north west,
legend entries={$g(x)$}
]
\addplot[domain=-6:-0.1,samples=40, color=red, very thick]{1/x};
\addplot[domain=0.1:6,samples=40, color=red, very thick]{1/x};
\end{axis}
\end{tikzpicture}
\vfill
\begin{tikzpicture}
% -x^2 + 2x + 1
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=10,
legend pos = north east,
legend entries={$h(x)$}
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{-2*x^2 + 2*x + 1};
\end{axis}
\end{tikzpicture}
\hspace{2cm}
\begin{tikzpicture}
% 2x + 1
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=5,
legend pos = north west,
legend entries={$i(x)$}
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{2*x +1};
\end{axis}
\end{tikzpicture}
\vfill
\begin{tikzpicture}
% x^2 - 2x - 3
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=10,
legend pos = north west,
legend entries={$j(x)$}
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{2*x^2 - 2*x - 3};
\end{axis}
\end{tikzpicture}
\hspace{2cm}
\begin{tikzpicture}
% xCos(x)
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=1,
legend pos = north west,
legend entries={$k(x)$}
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{x*cos(deg(x))};
\end{axis}
\end{tikzpicture}
\vfill
\begin{tikzpicture}
% x sin(2x)
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=1,
legend pos = north west,
legend entries={$l(x)$}
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{x*sin(deg(x))};
\end{axis}
\end{tikzpicture}
\hspace{2cm}
\begin{tikzpicture}
% -0.5x + 4
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=1,
legend pos = north west,
legend entries={$m(x)$}
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{-1.75*x+4};
\end{axis}
\end{tikzpicture}
\vfill
\clearpage
\begin{tikzpicture}
% {0.1*(x+4)*(x+1)*(x-5)}
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=1,
legend pos = north west,
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{0.1*(x+4)*(x+1)*(x-5)};
\end{axis}
\end{tikzpicture}
\hspace{2cm}
\begin{tikzpicture}
% 1/x
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=1,
legend pos = north west,
]
\addplot[domain=-6:-0.1,samples=40, color=red, very thick]{1/x};
\addplot[domain=0.1:6,samples=40, color=red, very thick]{1/x};
\end{axis}
\end{tikzpicture}
\vfill
\begin{tikzpicture}
% -x^2 + 2x + 1
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=10,
legend pos = north east,
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{-2*x^2 + 2*x + 1};
\end{axis}
\end{tikzpicture}
\hspace{2cm}
\begin{tikzpicture}
% 2x + 1
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=5,
legend pos = north west,
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{2*x +1};
\end{axis}
\end{tikzpicture}
\vfill
\begin{tikzpicture}
% x^2 - 2x - 3
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=10,
legend pos = north west,
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{2*x^2 - 2*x - 3};
\end{axis}
\end{tikzpicture}
\hspace{2cm}
\begin{tikzpicture}
% xCos(x)
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=1,
legend pos = north west,
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{x*cos(deg(x))};
\end{axis}
\end{tikzpicture}
\vfill
\begin{tikzpicture}
% x sin(2x)
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=1,
legend pos = north west,
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{x*sin(deg(x))};
\end{axis}
\end{tikzpicture}
\hspace{2cm}
\begin{tikzpicture}
% -0.5x + 4
\begin{axis}[
axis lines = center,
%grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=1,
legend pos = north west,
]
\addplot[domain=-6:6,samples=40, color=red, very thick]{-1.75*x+4};
\end{axis}
\end{tikzpicture}
\vfill
\end{document}