Explain how you think this function got its name...?

Question

Explain how you think the function got its name. I've graphed this function, but I can't word it how I want to word it... =\

f(x) = ROUND(x) = {...
1, if 0.5 is *less than or equal to* x <1.5
2, if 1.5 is *less than or equal to* x < 2.5
3, if 2.5 is *less than or equal to* x < 3.5
...}


All help is, of course, appreciated!
Thank you!

Answer 1

The function name ROUND is appropriate because the
effect of the function is the "round up/down" a decimal
value to the nearest integer.

Note that cases ending with exactly .5 (i.e .5, 1.5 2.5 )
always "round up" to the next higher integer. Not all rounding
schemes work in that fashion. Sometimes you will
see a scheme where the .5 cases round up or down depending on which way gives an even number (look up Banker's rounding)