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How to color area between 2+ functions

asked 2023-07-24 10:17:13 +0100

Alex89 gravatar image
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.

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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.

rburing gravatar imagerburing ( 2023-07-24 22:16:33 +0100 )edit

I'm studying linear programming and this is just perfect! Exactly what I was looking for.

Thank you very much!

Alex89 gravatar imageAlex89 ( 2023-07-25 11:14:29 +0100 )edit

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answered 2023-07-24 22:20:07 +0100

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 + Q
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Looks great! Thank you.

Alex89 gravatar imageAlex89 ( 2023-07-25 11:16:02 +0100 )edit
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answered 2023-07-25 09:02:58 +0100

slelievre gravatar image

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

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Asked: 2023-07-24 10:17:13 +0100

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Last updated: Jul 25 '23