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Cheaper (less points) and clearer (more concentrated about the origin, uncluttered by axes) :

f(x)=x^2+1/x
plot(f,(-10,10),detect_poles="show",axes=False,plot_points=100)

See it in Sagecell

Cheaper (less points) and clearer (more concentrated about the origin, uncluttered by axes) :

f(x)=x^2+1/x
plot(f,(-10,10),detect_poles="show",axes=False,plot_points=100)

See it in Sagecell

Cheaper (less points) and clearer (more concentrated about the origin, uncluttered by axes) axes, explicitely shows the singularity) :

f(x)=x^2+1/x
plot(f,(-10,10),detect_poles="show",axes=False,plot_points=100)

See it in Sagecell