Is there a function whose graph is contained in one quadrant of the coordinate plane?

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Is there a function whose graph is contained in one quadrant of the coordinate plane?

It should be related to maths and not physics.

Please give me the equation and if possible its picture.

2

There are 2 best solutions below

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The upper (or lower) half of any circle with center in the first quadrant and radius < distance center-axes, like $$y = 2 + \sqrt{1-(x-2)^2}.$$

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How about $y=\frac{1}{\sqrt{x}}$?