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  2. What is the Greatest Integer Function? The greatest integer function is denoted byx⌋, for any real function. The function rounds – off the real number down to the integer less than the number. This function is also known as the Floor Function. For example:

  3. Greatest Integer Function - Graph, Domain & Range, Examples -...

    www.cuemath.com/algebra/greatest-integer-function

    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⌋. We will round off the given number to the nearest integer that is less than or equal to the number itself.

  4. Greatest Integer Function - GeeksforGeeks

    www.geeksforgeeks.org/greatest-integer-function

    The greatest Integer Function [X] indicates an integral part of the real number [Tex]x [/Tex] which is the nearest and smaller integer to [Tex]x [/Tex]. It is also known as the floor of X. [x]=the largest integer that is less than or equal to x. In general: If, [Tex]n [/Tex] <= [Tex]X [/Tex] < [Tex]n+1 [/Tex].

  5. Greatest Integer Function – Explanation & Examples - The Story of...

    www.storyofmathematics.com/greatest-integer-function

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

  6. Greatest Integer Function and Graph - Mathwarehouse.com

    www.mathwarehouse.com/algebra/greatest-integer-function-and-graph.php

    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 largest integer that is less than or equal to $$x$$.

  7. Greatest Integer Function - Graph with Examples - Math Monks

    mathmonks.com/integer/greatest-integer-function

    The greatest integer function is a type of mathematical function that results in the integer being less than or equal to a given number. It is also known as the step function. It is denoted by the symbol f(x) = ⌊x⌋, for any real function, which is: ⌊x⌋ = n, here ‘n’ is an integer and n ≤ x < n + 1

  8. What is the greatest integer function? - Definition - CK-12...

    www.ck12.org/.../what-is-the-greatest-integer-function

    The greatest integer function, also known as the step function or floor function, is a type of mathematical function. It is denoted by @$\begin{align*}⌊x⌋.\end{align*}@$. The function rounds down a real number to the largest integer less than or equal to the number.

  9. Greatest Integer Function - Definition, Examples, and Graph

    www.basic-mathematics.com/greatest-integer-function.html

    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 greatest integer less or equal to x.

  10. Greatest Integer Function | Definition, Graph & Equation

    study.com/academy/lesson/greatest-integer-function-definition-examples.html

    The greatest integer function is the function that takes any number as its input and creates the largest integer that is less than or equal to that...

  11. Understanding the Greatest Integer Function: Definition ... -...

    senioritis.io/mathematics/calculus/understanding-the-greatest-integer-function...

    The greatest integer function, denoted as [x] or sometimes as floor(x), is a mathematical function that rounds down a real number to the largest previous integer. It essentially gives you the greatest integer that is less than or equal to the given number.

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