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Plot fit function on a defined range

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Subject Plot fit function on a defined range
From Axel <axeldibert@gmail.com>
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Xref csiph.com comp.graphics.apps.gnuplot:3143

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Hi to all the community!
I am new here and I need a hand to solve the issue described below.

I have five sets of experimental data named {1, ..., 5}.txt and I fitted the points with polynomial functions. I am looking to plot the functions only on specific x- and y-ranges (different from function to function) where the extremes of the ranges are decimal numbers.

When trying to do this, I obtain a mess: it seems that gnuplot considers every range defined for a function with 'plot [x-range][y-range]  etc.' as it were the range of the axis of the graph previously defined with 'set xrange [x1:x2]' and 'set yrange [y1:y2]'. How can I avoid this behavior?
Example: http://i66.tinypic.com/21nldom.jpg

The script is the following:
set terminal epslatex color
set decimalsign locale [comma]
set title "Title"
set format x "$%0.3f$"
set format y "$%0.1f$"
set xlabel "Label"
set ylabel "Label"
set xrange [0:1]
set yrange [50:80]
set grid
unset key
set output 'name.tex'
f(x) = a*x**3 + b*x**2 + c*x + d
[...]
fit f(x) '1.txt' using 2:1 via a, b, c, d
[...]
plot [0.9000:1][60.0:70.0] f(x) linecolor rgb "black"
[...]

I am using gnuplot 5.0 patchlevel 1 on Mac OS X El Capitan.

I really appreciate any help!
Axel

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Thread

Plot fit function on a defined range Axel <axeldibert@gmail.com> - 2015-11-28 17:22 -0800
  Re: Plot fit function on a defined range Karl-Friedrich Ratzsch <mail.kfr@gmx.net> - 2015-11-29 13:13 +0100
  Re: Plot fit function on a defined range Axel <axeldibert@gmail.com> - 2015-12-04 17:04 -0800

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