\documentclass[11pt]{beamer}
\usepackage{ucs}
\usetheme{Warsaw}
\usepackage[utf8]{inputenc}
\usepackage{polski}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{graphicx}
\usepackage{tikz}
\usepackage{mathtools}
\usepackage{amsmath}
\usepackage{amsthm}
\usepackage{tikz}
\usepackage{pgfplots}

\newtheorem{tw}{Twierdzenie}
%\theoremstyle{definition}
%\newtheorem{definition}{Definicja}

\author{Izabela Kosmala}
\title{Wykresy funkcji}
%\subtitle{}
\institute{Uniwersytet im. Adama Mickiewicza} 
\date{09.11.2017 r.} 

\begin{document}

\begin{frame}
\titlepage
\end{frame}

\begin{frame}{\(x\mapsto x^2-2x+3\)}

\begin{tikzpicture}
\begin{axis}[
axis x line=center ,
axis y line=center ,
xtick ={-10,-9,...,10},
ytick ={1,2,...,10},
xlabel ={$x$},
ylabel ={$y$},
xlabel  style ={ below  right},
ylabel  style ={ right},
xmin=-10.5,
xmax =10.5,
ymin=-0.5,
ymax =10.5,
title={Wykres funkcji \(x\mapsto x^2-2x+3\)}
]
\addplot[color=black ,line width =0.5pt ,smooth,domain=-10:10] plot(\x,\x^2-2*\x+3);
\end{axis}

\end{tikzpicture}

\end{frame}


\begin{frame}{\( x\mapsto \cos 2x\)}
\begin{tikzpicture}

\draw[domain =0:2*pi,smooth] plot(\x,{cos(2*\x r)});

\end{tikzpicture}
\end{frame}

\begin{frame}{\( x\mapsto\sin \tfrac{1}{x}\)}
\begin{tikzpicture}
\begin{axis}[]
\addplot[smooth] gnuplot[raw  gnuplot ]{
plot[-10:10] sin(1/x)
};
\end{axis}
\end{tikzpicture}
\end{frame}

\begin{frame}{\( (x,y)\mapsto x^2+y^2\)}
\begin{tikzpicture}
\begin{axis}[colorbar]
\addplot3[surf,domain=-360:360,samples=50]{x^2+y^2};
\end{axis}
\end{tikzpicture}
\end{frame}

\begin{frame}{\((x,y)\mapsto x^2−y^2 + 2 x y ^2+1\)}
\begin{tikzpicture}
\begin{axis}[colorbar]
\addplot3[surf]
table[] {"Book1.dat"};
\end{axis}
\end{tikzpicture}


\end{frame}

\end{document}