Linear functions: Added

tikz/exponential-functions-gif/Makefile

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+SOURCE = exponential-functions-gif
+DELAY = 40
+DENSITY = 300
+WIDTH = 1000
+
+make:
+	pdflatex $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot *.toc *.snm *.nav *.out
+
+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
+
+animatedGif:
+	make
+	pdfcrop $(SOURCE).pdf
+	convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).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 $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

tikz/exponential-functions-gif/README.md

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+Compiled example
+----------------
+![Example](exponential-functions-gif.png)

tikz/exponential-functions-gif/exponential-functions-gif.tex

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+\documentclass[varwidth=false, border=2pt]{beamer}
+
+\usepackage{tikz,pgfplots,multido}
+\pgfplotsset{compat=1.17}
+\usepackage{nicefrac}
+\pgfplotsset{every axis legend/.append style={
+at={(0,0)},
+anchor=north east}}
+
+\usepackage[active,tightpage]{preview}
+\PreviewEnvironment{tikzpicture}
+\begin{document}
+\multido{\i=0+1}{10}{%
+\begin{tikzpicture}
+    \begin{axis}[
+        axis x line=middle,
+        axis y line=middle,
+        grid = major,
+        width=16cm,
+        height=8cm,
+        grid style={dashed, gray!30},
+        xmin=-2.1,   % start the diagram at this x-coordinate
+        xmax= 4.1,   % end   the diagram at this x-coordinate
+        ymin= 0,     % start the diagram at this y-coordinate
+        ymax= 17,    % end   the diagram at this y-coordinate
+        xlabel=$x$,
+        ylabel=$y$,
+        ytick={0,2,3,4,8,9,12,16},
+        yticklabels={0,2,3,4,8,9,12,16},
+        legend cell align=left,
+        legend pos=south east,
+        legend style={draw=none},
+        tick align=outside,
+        enlargelimits=false]
+      % plot the function
+      \addplot[domain=-2:{4*\i/10}, red, ultra thick,samples=500] {2^x};
+    \end{axis}
+\end{tikzpicture}
+}
+
+\end{document}

tikz/linear-functions/Makefile

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+SOURCE = linear-functions
+DELAY = 80
+DENSITY = 300
+WIDTH = 500
+
+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 $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

tikz/linear-functions/README.md

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+Compiled example
+----------------
+![Example](linear-functions.png)

tikz/linear-functions/linear-functions.tex

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+\documentclass[varwidth=false, border=2pt]{standalone}
+
+\usepackage{pgfplots}
+\usepackage{tikz}
+\usepackage{nicefrac}
+\pgfplotsset{every axis legend/.append style={
+at={(0,0)},
+anchor=north east}}
+
+\begin{document}
+\begin{tikzpicture}
+    \begin{axis}[
+        axis x line=middle,
+        axis y line=middle,
+        grid = major,
+        width=8cm,
+        height=8cm,
+        grid style={dashed, gray!30},
+        xmin=-5,   % start the diagram at this x-coordinate
+        xmax= 5,   % end   the diagram at this x-coordinate
+        ymin=-5,   % start the diagram at this y-coordinate
+        ymax= 5,   % end   the diagram at this y-coordinate
+        xlabel=x,
+        ylabel=y,
+        legend cell align=left,
+        legend pos=south east,
+        legend style={draw=none},
+        tick align=outside,
+        enlargelimits=false]
+      % plot the function
+      \addplot[domain=-5:5, red, ultra thick,samples=500] {0.5*x};
+      \addplot[domain=-5:5, green!50!black, ultra thick,dashed,samples=500] {x};
+      \addplot[domain=-5:5, blue, ultra thick,dotted,samples=500] {2*x};
+      \legend{$\nicefrac{1}{2} \cdot x$,$x$,$2 \cdot x$}
+    \end{axis}
+\end{tikzpicture}
+\end{document}