The greatest integer function of a number is the greatest integer less than or equal to the number. i.e., the input of the function can be any real number whereas its output is always an integer. …

In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor (x). Similarly, the ceiling …

Jul 11, 2025 · The greatest Integer Function [X] indicates an integral part of the real number x x which is the nearest and smaller integer to x x . It is also known as the floor of X.

Aug 3, 2023 · What is the greatest integer function explained with symbol, examples, and diagram. Learn how to graph it with its domain and range.

The greatest integer function, also called step function, is a piecewise function whose graph looks like the steps of a staircase. The greatest integer function is denoted by f (x) = [x] and is …

What Is the Greatest Integer Function? Quick Overview The Greatest Integer Function is also known as the Floor Function. It is written as $$f (x) = \lfloor x \rfloor$$. The value of $$\lfloor x …

What is the Greatest Integer Function? The greatest integer function is denoted by ⌊x⌋, for any real function. The function rounds – off the real number down to the integer less than the …

The greatest integer function returns the smaller integer closest to a given number. Learn why it's also called the step function here!

Nov 27, 2025 · What is the Greatest Integer Function (Floor Function)?

We break down the definition of the function given in set-builder form and plot the graph by connecting points on the cartesian plane. Domain and Range is calculated through visually …