diff --git a/tikz/2d-utility/2d-caro.png b/tikz/2d-utility/2d-caro.png
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diff --git a/tikz/2d-utility/2d-caro.tex b/tikz/2d-utility/2d-caro.tex
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+++ b/tikz/2d-utility/2d-caro.tex
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+\documentclass[border=2pt]{standalone}
+
+\usepackage{pgfplots}
+\usepackage{tikz}
+
+\begin{document}
+\begin{tikzpicture}
+    \begin{axis}[
+        legend pos=south east,
+        legend cell align={left},
+        axis x line=middle,
+        axis y line=middle,
+        grid = major,
+        width=11.5cm,
+        height=6.5cm,
+        grid style={dashed, gray!30},
+        xmin=-105.5,   % start the diagram at this x-coordinate
+        xmax= 105.5,   % end   the diagram at this x-coordinate
+        ymin=-120.5,   % start the diagram at this y-coordinate
+        ymax= 105.5,   % end   the diagram at this y-coordinate
+        axis background/.style={fill=white},
+        xlabel=$x$,
+        ylabel=$y$,
+        tick align=outside,
+        minor tick num=-3,
+        ]
+      \addplot[domain=-100:100.0, black, thin, dashed,samples=200] {x};
+      \addplot[domain=0:100.0, red, thick,samples=200] {x^0.88};
+      \addplot[domain=-100:0, green, thick,samples=200] {-2*(-x)^0.88};
+      \addlegendentry{$f(x)= x$}
+      \addlegendentry{$g_{+}(x)=x^{0.88}$}
+      \addlegendentry{$g_{-}(x)=-2 \cdot (-x)^{0.88}$}
+    \end{axis}
+\end{tikzpicture}
+\end{document}
diff --git a/tikz/2d-utility/Makefile b/tikz/2d-utility/Makefile
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+++ b/tikz/2d-utility/Makefile
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+SOURCE = 2d-caro
+DELAY = 80
+DENSITY = 300
+WIDTH = 512
+
+make:
+	pdflatex $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot
+
+gif:
+	pdfcrop $(SOURCE).pdf
+	convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
+	make clean
+
+png:
+	make
+	make svg
+	inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
+
+transparentGif:
+	convert $(SOURCE).pdf -transparent white result.gif
+	make clean
+
+svg:
+	#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
+	pdf2svg $(SOURCE).pdf $(SOURCE).svg
+	# Necessary, as pdf2svg does not always create valid svgs:
+	inkscape $(SOURCE).svg --export-width=$(WIDTH) --export-plain-svg=$(SOURCE)1.svg
+	rsvg-convert -a -w 720 -f svg $(SOURCE)1.svg -o $(SOURCE).svg
+	rm $(SOURCE)1.svg
diff --git a/tikz/2d-utility/README.md b/tikz/2d-utility/README.md
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+++ b/tikz/2d-utility/README.md
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+Compiled example
+----------------
+![Example](2d-caro.png)