It might help seeing your graphs here, too.

On Thu, Mar 14, 2024 at 10:04 AM David Joyner <wdjoy...@gmail.com> wrote:

> Hi:
>
> I'm trying to show my students a plot of
> a rational function whose graph is basically 1,
> so I plotted
> f(x) = (x^2+0.0001)/(x^2+0.0001000001)
> However, there is a problem: Note the difference between
> plot((x^2+0.0001)/(x^2+0.0001000001), (x,-10,10))
> (which dips down near x=0) and
> plot((x^2+0.0001)/(x^2+0.0001000001), (x,-10,10), ymin = -0.1, ymax = 1.5)
> (which basically looks like a straight line).
> Same problem for lists:
>
> sage: L = [(x/100, f(x/100)) for x in range(-100, 100)]
> sage: list_plot(L)                      # bug?
> sage: list_plot(L, ymin=-0.5, ymax=1.5) # good
>
> This is using 'SageMath version 10.3.rc1, Release Date: 2024-02-29' on an
> ubuntu machine. Can anyone tell what is going on here? I'm happy to
> attached jpgs of the plots I get, if desired.
>
> For comparison, it appears that Sympy plots this correctly.
>
> - David Joyner
>
>
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