How to plot below function of two variables

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the cyclist
the cyclist on 15 Aug 2019
It's unclear to me how to handle the case when x is in [0,1] but y is not.
However, my solution (which only covers the known cases) should give you what you need.

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the cyclist
the cyclist on 15 Aug 2019
Edited: the cyclist on 15 Aug 2019
x = 0 : 0.02 : 2; % 2 is not equal to infinity, but it shows the behavior.
y = 0 : 0.02 : 2;
[xx,yy] = meshgrid(x,y);
f = 3.*(xx<=1 & yy<=1) + exp(xx+yy).*(xx>1 & yy>1);
figure
h = mesh(xx,yy,f);

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