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One such function is [ Y = INT(x) ]. (Y is equal to the greatest integer in ' x ')
Integers never stop. There is no single greatest one.
There are many such functions. For example, any function of the form y = x^a where a is an odd positive integer will do.
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It means that the function value doesn't make sudden jumps. For example, a function that rounds a number down to the closest integer is discontinuous for all integer values; for instance, when x changes from 0.99 to 1, or from 0.999999 to 1, or for any number arbitrarily close to 1 (but less than one) to one, the function value suddenly changes from 0 to 1. At other points, the function is continuous.