It is sometimes denoted by the floor function symbol ⌊x⌋. The floor function floor(x) is also called the greatest integer function. We’ll also answer some common questions about the floor function. In this article, we will talk about what the floor function is, what it looks like on a graph, and some of the variations of the graph. Of course, for nonnegative values of x (x >= 0), taking the floor of x is the same as truncating x (cutting off the decimal part). That is, y = floor(x) is the integer where y x. The output y is the greatest integer less than or equal to x. So, what is the floor function? The floor function floor(x) (or ⌊ x ⌋ ) takes a real number x as input and returns an integer y as output. However, it is a good idea to know exactly how it works. ![]() The floor function takes a set of real numbers and returns whole numbers, without any fractions or decimals.
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