y1 =(4-x)/2
y2 = 2 - 2*x
y3 = (-3+x)/2
plot([y1,y2,y3], (x,-1,6), ymax=10, ymin=-4,gridlines='minor')I want to colorize the triangle formed by these 3 linear functions. How can I do that? fill = True just confuses the graph.
You can use region_plot(documentation is on the page https://doc.sagemath.org/html/en/refe..., but I don't see how to link directly to that particular part of the page).
sage: var('y')
y
sage: region_plot([y < y1, y > y2, y > y3], (x, -1, 6), (y, -4, 10))will produce a filled triangle. To combine with the previous plot, add them:
sage: P = plot([y1,y2,y3], (x,-1,6), ymax=10, ymin=-4,gridlines='minor')
sage: Q = region_plot([y < y1, y > y2, y > y3], (x, -1, 6), (y, -4, 10))
sage: P + QLooks great! Thank you.
See "The basic options for filling a list of plots" and the surrounding examples in
and the various other examples on that page.
Scroll through that whole richly illustrated documentation page.
See also other examples at
Asked: 1 year ago
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Last updated: Jul 25 '23
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Do you want to do this just for linear functions? In that case I would just determine the intersection points and draw the triangle as a polygon.
I'm studying linear programming and this is just perfect! Exactly what I was looking for.
Thank you very much!