I am having trouble understanding the concept of the greatest integer function (ceiling function) versus the floor function.

Would someone mind helping me out

Question

I am having trouble understanding the concept of the greatest integer function (ceiling function) versus the floor function.

Would someone mind helping me out

anonymous · Answer

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It is something like that, but I do not get it.

anonymous · Answer

do you know how to round off numbers?
well, ceiling is rounding, always up to the nearest
and floor is rounding, always down to the nearest

anonymous · Answer

But then how is it still a function?

anonymous · Answer

why wouldn't it be a function?

anonymous · Answer

what is the definition of function, and which part of the definition do you think is being violated or is not satisfied?