Question

Jim says that the output of the floor function is the number before the decimal point in the input. For what domain is Jim’s statement correct? Justify your answer.

Answer 1

Jim’s statement is correct for all numbers greater then or equal to 0. which it does not work for negative numbers

Answer 2

you can try this with a selection of numbers 0.64, 1.4, 7.98
The floors are 0, 1 and 7. So true for those.

Then try -0.78, -1.7, - 12.9
your floors are -1, -2 and -13.
Thus the rule does not follow for all negative values of x.