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