\documentclass{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[domain=0:3.5]
\draw[very thin,color=gray] (-0.1,-1.1) grid (3.9,3.9);
\draw[->] (-0.2,0) -- (4.2,0) node[right] {$x$};
\draw[->] (0,-1.2) -- (0,4.2) node[above] {$f(x)$};
\draw[color=red] plot (\x,\x) node[right] {$f(x) =x$};
\draw[color=blue] plot (\x,{sin(\x r)}) node[right] {$f(x) = \sin x$};
\draw[color=green] plot (\x,{cos(\x r)}) node[right] {$f(x) = \cos x$};
\draw[color=orange] plot (\x,{0.15*exp(\x)}) node[right] {$f(x) = \frac{1}{20} \mathrm e^x$};
\end{tikzpicture}
\end{document}
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