I have a function with a parameter z similar to the above one:
y = sin(x+z)
How can I plot the values of y as a function of x and all the possible values of z in the [0.1, +0.1]?
I want to graphic the area defined by those limits. So everything bounded by sin(x-0.1) and sin(x+0.1) would be shaded, everything outside would be white space.
I'm trying to accomplish this with gnuplot, but with any software would probably be fine.
plot '+' using ($1):(sin($1+.1)):(sin($1-.1)) w filledcurves