File:Piecewise linear function gnuplot.svg WikiZero

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DescriptionPiecewise linear function gnuplot.svg	English: Plot of the piecewise linear function $f(x)=\left\{{\begin{array}{lll}-3-x&{\text{if}}&x\leq -3\\x+3&{\text{if}}&-3\leq x\leq 0\\3-2x&{\text{if}}&0\leq x\leq 3\\0.5x-4.5&{\text{if}}&3\leq x\\\end{array}}\right.$
Date	30 September 2020
Source	Own work
Author	Jochen Burghardt
Other versions	File:PiecewiseLinear.png * File:Piecewise linear function.svg * File:Piecewise linear function gnuplot.svg

Gnuplot source code
set xrange [-5:5] set yrange [-3:3] set xtics 1 set ytics 1 f(x) = ( x <= -3 ? -3 - x \ : -3 <= x && x <= 0 ? x + 3 \ : 0 <= x && x <= 3 ? 3 - 2x \ : 0.5x - 4.5 \ ) set grid # y axis set arrow from 0,-3 to 0,3 nohead lt 8 #x axis plot 0 with lines lt 8 lw 1 title "" # plot the function #replot f(x) with lines lt 6 lw 3 title "" # plot the function in pieces to avoid artifacts at interval boundaries replot [x=-5:-3] f(x) with lines lt 6 lw 3 title "" replot [x=-3: 0] f(x) with lines lt 6 lw 3 title "" replot [x= 0: 3] f(x) with lines lt 6 lw 3 title "" replot [x= 3: 5] f(x) with lines lt 6 lw 3 title "" pause -1

Gnuplot source code

set xrange [-5:5] set yrange [-3:3] set xtics 1 set ytics 1  f(x) =  (            x <= -3    ? -3 - x        \            : -3 <= x && x <=  0    ? x + 3         \            :  0 <= x && x <=  3    ? 3 - 2*x       \            :                         0.5*x - 4.5   \            )  set grid  # y axis set arrow from 0,-3 to 0,3 nohead lt 8  #x axis   plot           0    with lines lt 8 lw 1 title ""  # plot the function #replot           f(x) with lines lt 6 lw 3 title ""  # plot the function in pieces to avoid artifacts at interval boundaries replot [x=-5:-3] f(x) with lines lt 6 lw 3 title "" replot [x=-3: 0] f(x) with lines lt 6 lw 3 title "" replot [x= 0: 3] f(x) with lines lt 6 lw 3 title "" replot [x= 3: 5] f(x) with lines lt 6 lw 3 title "" pause -1

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Short title	Qt SVG Document
Image title	Generated with Qt
Width	226.483mm
Height	170.039mm

File:Piecewise linear function gnuplot.svg

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