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+\documentclass{article}
+\usepackage[utf8]{inputenc}
+
+
+
+\usepackage{pgf,tikz}
+\usepackage{pgfplots}
+\usetikzlibrary{arrows,backgrounds}
+\pgfplotsset{width=10cm,compat=newest}
+
+
+\title{\#05 Draw graphs of the following functions}
+\author{Enrique Andrade González }
+\date{Computer tools in mathematican's work}
+
+\begin{document}
+
+\maketitle
+
+
+
+\section{$x^2-2x+3$}
+
+\begin{tikzpicture}
+
+    \draw [->] (0,0) -- (0,12);
+    \draw [<->] (-4,0) -- (6,0);
+    \draw [help lines] (-4,0) grid (6,12);
+    % x ^ 2-2x + 3
+    \draw [blue, domain=-2:4] plot (\x, {pow(\x,2)-\x*2 +3}) 
+    node[right] {$v_1(x^2-2x +3)$)};
+    \node [below] at (0,0) {(0,0)};
+    \node [above] at (0,12) {(0,12)};
+    \node [left] at (-4,0) {(-4,0)};
+    \node [right] at (6,0) {(6,0)};
+
+\end{tikzpicture}
+
+
+
+
+
+
+\section{$cos(2x)$}
+
+\begin{tikzpicture}
+
+    \draw [<->] (0,-3) -- (0,3);
+    \draw [<->] (-6,0) -- (6,0);
+    \draw [help lines] (-6,-3) grid (6,3);
+    % x ^ 2-2x + 3
+    \draw [blue, domain=-6:6, samples=100] plot (\x, {cos(\x*2 r)}) 
+    node[right] {$v_1(cos(x*2))$};
+    \node [below] at (0,0) {(0,0)};
+    \node [above] at (0,3) {(0,3)};
+    \node [left] at (-6,0) {(-6,0)};
+    \node [below] at (6,0) {(6,0)};
+    \node [below] at (0,-3) {(0,-3)};
+
+\end{tikzpicture}
+
+
+
+
+
+
+\section{$sin(1/x)$}
+
+\begin{tikzpicture}
+
+    \draw [<->] (0,-3) -- (0,3);
+    \draw [<->] (-6,0) -- (6,0);
+    \draw [help lines] (-6,-3) grid (6,3);
+    %% Problema!!! Vale esta solución???
+    \draw [blue, domain=0.01:6, rotate=180, samples=100] plot (\x, {sin(1/\x r)});
+    % Problema al tener un 0 en el denominador.
+    \draw [blue, domain=0.01:6, samples=100] plot (\x, {sin(1/\x r)})
+    node[right] {$v_1(x^2-2x +3)$)};
+    \node [below] at (0,0) {(0,0)};
+    \node [above] at (0,3) {(0,3)};
+    \node [left] at (-6,0) {(-6,0)};
+    \node [right] at (6,0) {(6,0)};
+    \node [below] at (0,-3) {(0,-3)};
+
+\end{tikzpicture}
+
+
+
+
+
+\section{$x^2+y^2$}
+
+\begin{tikzpicture}
+
+\begin{axis}[
+%hide axis,
+xlabel=$x$,ylabel=$y$,mesh/interior colormap name=hot,colormap/blackwhite,]
+\addplot3[domain=-3:3,surf,samples=41]
+{x^2+y^2};
+\end{axis}
+
+\end{tikzpicture}
+
+
+
+
+
+\section{$x^2-y^2+2*x*y^2+1$}
+
+\begin{tikzpicture}
+
+\begin{axis}[
+%hide axis,
+xlabel=$x$,ylabel=$y$,mesh/interior colormap name=hot,colormap/blackwhite,]
+\addplot3[domain=-3:3,surf,samples=41]
+{x^2-y^2+2*x*y^2+1};
+\end{axis}
+
+\end{tikzpicture}
+
+\end{document}