addplot [draw=black,fill=black] coordinates {(-3,-3) (-3,3) (3,-3) (3,3)};

documentclass{article}
usepackage{pgfplots}
usepackage[ansinew]{inputenc}
usepackage[T1]{fontenc}
usepackage[Swedish]{babel}
usepackage{amsthm}
usepackage{amsfonts}
usepackage{amsmath}
usepackage{amssymb}
usepackage{pgfplots,mathrsfs}
usepackage[shortlabels]{enumitem}
usepackage{pgf,tikz}
usepackage{mathrsfs}
usetikzlibrary{arrows}
usepackage{framed}

begin{document}
definecolor{uququq}{rgb}{0.25098039215686274,0.25098039215686274,0.25098039215686274}
definecolor{ffqqqq}{rgb}{1,0,0}
begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1cm,y=1cm]
draw[->,color=black] (-4,0) -- (4,0);
foreach x in {-4,-3,-2,-1,1,2,3,4}
draw[shift={(x,0)},color=black] (0pt,2pt) -- (0pt,-2pt);
draw[->,color=black] (0,-3.9627039627039613) -- (0,4);
foreach y in {-3,-2,-1,1,2,3}
draw[shift={(0,y)},color=black] (2pt,0pt) -- (-2pt,0pt);clip(-8,-3.9627039627039613) rectangle (8,4);
draw[line width=2pt,color=ffqqqq,smooth,samples=100,domain=-8:8] plot(x,{(x)});
draw [rotate around={0:(-1,0)},line width=2pt,color=uququq] (-1,0) ellipse (1cm and 1cm);
draw [rotate around={0:(0,0)},line width=2pt,fill=black,fill opacity=0.25] (0,0) ellipse (1.4142135623730951cm and 1.4142135623730951cm);
begin{scriptsize}
draw[color=ffqqqq] (-3.2950340798442066,-3.655011655011654) node {$f(x) = x$};
draw [fill=black] (0,0) circle (2.5pt);
draw[color=black] (0.6932814021421617,0.39160839160839206) node {$A = (0, 0)$};
draw [fill=black] (-1,-1) circle (2.5pt);draw[color=black]  (-0.1947419668938657,-0.5967365967365961) node {$B = (-1, -1)$};
end{scriptsize}
end{tikzpicture}
end{document}