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Greatest integer function is a function that gives the greatest integer less than or equal to a given number. The greatest integer less than or equal to a number x is represented as ⌊x⌋.

The Greatest Integer Function is also known as the Floor Function. It is written as f(x) = ⌊x⌋ f (x) = ⌊ x ⌋. The value of ⌊x⌋ ⌊ x ⌋ is the largest integer that is less than or equal to x x.

The greatest integer functions (or step functions) can help us find the smaller integer value close to a given number. The step function’s graph can be determined by finding the values of y at …

less than or equal to x. In essence, it rounds down a real number to the nearest integer. or find in the Catalog. • If copying the graph from your calculator, be sure to indicate the open and …

Apr 23, 2025 · Learn about the Greatest Integer Function (⌊x⌋), its definition, graph, properties, and solved examples. Understand how it works with step-by-step illustrations.

Three quick graphs involving the greatest integer function. The properties and characteristics of the Greatest Integer Function, its equation, and its graph. The greatest integer function (step …

The greatest integer function is denoted by y = [x] For all real values of x, the greatest integer function returns the greatest integer which is less than or equal to x. To graph the parent …

Last updated at Dec. 16, 2024 by Teachoo. Since y will have integer values ( … –3, –2, –1, 0, 1, 2, 3, …)

Jun 28, 2024 · Let’s understand the graph of the greatest integer function through a plot. Suppose f (x) = ⌊x⌋, if x is an integer, then the value of f will be x itself and if x is not an integer, then the …