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. Thus, its …

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

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 $$\lfloor x \rfloor$$ is the …

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 defined as the …

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 observing the graph.

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 number. This …

The greatest integer function, denoted as f (x) = [x], is a function that takes a real number 'x' as input and gives the greatest integer that is less than or equal to 'x' as the output.

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

4 days ago · The floor function |_x_|, also called the greatest integer function or integer value (Spanier and Oldham 1987), gives the largest integer less than or equal to x. The name and symbol for the …

Oct 1, 2025 · This lesson explores the greatest integer function (floor function) and the smallest integer function (ceiling function) in CBSE Class 11 (aligned with the NCERT textbook).