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Show graphically a plotted curve and a point {0, -1} together?

Posted 4 years ago

The following notebook script can show 7 points on a plotted graph of Plot[x^2+1,{x,-3,2}],but fails to show the point {0, -1} on the graph. How can I show the point {0,-1} on the graph, too?

PlotPx = Plot[x^2 + 1, {x, -3, 2}];
PointSet = {{-3, 9}, {-2.5, 5.75}, {-2, 4}, {3, 9}, {-1, 2}, {-0.5, 
    1.75}, {0, -1}, {0, 2}, {1, 4}, {2, 8}};
PointMap = Map[Point, PointSet];
Show[PlotPx, Graphics[{PointSize[0.01], PointMap}], 
 AspectRatio -> Automatic, Axes -> True,
 AxesLabel -> {x, "y=P(x)"}]
6 Replies

Dear Mr. Hans Milton: I am very greatful to your quick answer to my elementary question.
At last I could find a way out of the quagmire I have been struggling with the problem for more than three days!

Thank you very much again!

Sincerely, Hiroshi Matsumura (June 26, 2020)

Dear Mr. Neil Singer:I thank you very much for your quick answer to my elementary question. Your suggestion greatly helped me come out of the quagmire I have been struggling with the problem for more tna three days!

I know only little about the "Epilog", but will spend some time to learn that.

Thank you very much again!

Sincerely, Hiroshi Matsumura (June 26, 2020)

You can also use Epilog[]:

Plot[x^2 + 1, {x, -3, 2}, Epilog -> Map[Point, data]]

Regards

Neil

POSTED BY: Neil Singer
Posted 4 years ago

Another way is to specify PlotRange -> All as an option to Show

Show[
    PlotPx, Graphics[{PointSize[0.01], PointMap}],
    AspectRatio -> Automatic, Axes -> True, AxesLabel -> {x, "y=P(x)"},
    PlotRange -> All
 ]
POSTED BY: Hans Milton
Posted 4 years ago

I believe that I remember that Show takes the PlotRange from the first argument. So force the PlotRange to include your all your points

PlotPx = Plot[x^2 + 1, {x, -3, 2},PlotRange->{-1.5,6}];

And that includes your Point{{0,-1}]

There are almost always more than one way of doing anything with Mathematica..

POSTED BY: Bill Nelson
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