Find a function y = f(x) that ends abruptly at a particular point (x,y)?

Question

We already know that y = 1 / ln(x) ends abruptly at (0,0).

Is there any other function, beside log functions, that possess this property?

Answer 1

y=sqrt(2-x) exists for 2-x>=0 so x<=2.It ends at (2,0) .And many more

Answer 2

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