Desmos
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Floor function | Desmos
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
functions of a real returning respectively the largest smaller and the smallest larger integer
Wikipedia
en.wikipedia.org › wiki › Floor_and_ceiling_functions
Floor and ceiling functions - Wikipedia
February 5, 2026 - However, the same term, integer part, is also used for truncation towards zero, which differs from the floor function for negative numbers. For an integer n, ⌊n⌋ = ⌈n⌉ = n. Although floor(x + 1) and ceil(x) produce graphs that appear exactly alike, they are not the same when the value ...
functions - floor(x/y)=y graph - Mathematics Stack Exchange
I was experimenting with some equations on Desmos and stumbled upon the floor function. I tried using it in different equations, but nothing caught my attention until I tried y = floor(x/y) (Screen... More on math.stackexchange.com
calculus - Integral of a Floor Function (and Graph) - Mathematics Stack Exchange
Draw the graph of $f(x)$ over the interval $[0,3]$, where $$f(x)=\int_0^x\lfloor t\rfloor^2\mathrm dt.$$ I don't quite know if I need to use this formula $$\int_0^n\lfloor t\rfloor^2\mathrm dt=\fr... More on math.stackexchange.com
how do you type y=[[x]] in desmos?
Since the notation for lists in Desmos is [...], it thinks you’re trying to put a list in a list. If you want to preserve the integer of a number, such as [[2.5]]=2, use the floor function, which is just floor(x). Similarly, there is ceil(x) which rounds up and round(x) which rounds to the neeest integer. Hope this helps! More on reddit.com
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August 31, 2020How to plot the graph of Greatest Integer Function ?
How to plot the graph of Greatest Integer... Learn more about greatest integer function, floor More on mathworks.com
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June 8, 2016What is the floor function example?
If we have a number say 1.58 and 0.1 as its floor function, then after applying the floor function, the value of 1.58 will be rounded off to the nearest multiple of 0.1 which is nothing but 1.5.
testbook.com
testbook.com › home › maths › floor function
Floor Function: Graph, Domain, Range, Properties & Solved Examples
What does floor function do?
The floor function rounds numbers down, toward zero, to the nearest multiple of significance.
testbook.com
testbook.com › home › maths › floor function
Floor Function: Graph, Domain, Range, Properties & Solved Examples
How do you write a floor function?
FLOOR{number, significance). Here FLOOR is the calling function, which tells the program or language what operation is to be performed on the enclosed arguments. The FLOOR function syntax has the following arguments: Number: The numeric value you want to round. Significance: The multiple to which you want to round.
testbook.com
testbook.com › home › maths › floor function
Floor Function: Graph, Domain, Range, Properties & Solved Examples
Videos
Graphing Floor and Ceiling Functions
07:48
Step Function: Floor Function - YouTube
08:19
The Floor Function (Greatest Integer Function) - YouTube
09:06
Graphing the Greatest Integer or Floor Function - YouTube
10:42
Floor Function or Greatest Integer Function - YouTube
MedCalc
medcalc.org › en › manual › floor-function.php
FLOOR function calculator and graph - MedCalc Manual
September 9, 2025 - FLOOR(x) rounds the number x down. The argument x can be a real number or a matrix. When it is a matrix, the function returns a matrix with the same dimensions and with the FLOOR function applied to all elements.
Testbook
testbook.com › home › maths › floor function
Floor Function: Graph, Domain, Range, Properties & Solved Examples
We will plot the graph for the above function. To do that we need to find out the value of y for all the values between 0 to 4. ... Since x tends from 0 to 4, we will consider only till 4 on the x axis. ... We can form a general formula for the integration of floor function based on this.
Math is Fun
mathsisfun.com › sets › function-floor-ceiling.html
Floor and Ceiling Functions
The Floor Function · A solid dot means "including" and an open dot means "not including". an open dot at y=1 (so it doesn't include x=2), and a solid dot at y=2 (which does include x=2) so the answer is y=2 · And this is the Ceiling Function: The Ceiling Function · See them together here: ../algebra/images/function-graph.js?fn0=floor(x)&fn1=ceil(x)&xmin=-5&xmax=5&ymin=-3&ymax=3 ·
GeeksforGeeks
geeksforgeeks.org › mathematics › floor-function
Floor Function - GeeksforGeeks
July 23, 2025 - The graph is right-continuous (closed circles on the right endpoints of each step) but has open circles on the left endpoints. For instance, at x = 2, the point (2, 2) is included, while approaching 2 from the left, the value remains 1. ... ...
CK-12 Foundation
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What is the greatest integer function/step function/floor function and its graph? - Symbol, Definition, & Graph | CK-12 Foundation
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.
Effortless Math
effortlessmath.com › math-topics › how-to-graphing-the-floor-function
How to Graphing the Floor Function - Effortless Math: We Help Students Learn to LOVE Mathematics
October 29, 2023 - 3.2. Horizontal Shifts: A term ‘\((x-b)\)’ shifts the graph b units to the right if b is positive and to the left if negative. 3.3. Stretches and Compressions: A multiplicative factor ‘\(a\)’ outside the floor function stretches the graph vertically, while a factor inside affects the horizontal aspect.
Top answer 1 of 3
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The graph is a little misleading. It only includes the "flat" parts, not the "diagonal" segments connecting them.
The complete graph is the union of the horizontal half-open segments
The first union comprises segments above the x-axis, and the second comprises those below the x-axis. As you move to the right, each segment is one unit longer and one unit higher (lower, for segments below the x-axis) than the previous segment. There is a longer and longer gap between segments. Ignore the diagonal "connectors" in your graph and it is right.
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floor(x/y) is the integer 
satisfying:
If 
, then:
If 
, then:
If 
, then:
So, you get a graph that's similar to 
(with both positive and negative branches), except that 
takes on only nonzero integer values.
Analyze Math
analyzemath.com › function › floor_function.html
Floor Function
The floor function floor(x) is defined as the function that gives the highest integer less than or equal to x. The graph of floor(x) is shown below.
Cuemath
cuemath.com › algebra › floor-and-ceiling-function
Floor Function and Ceiling Function - Definition, Formulas, Properties, Examples
The range of input values is represented as a line and the final floor or the ceiling value is represented as a dot, in the graph of the floor function or the ceiling function.
Statistics How To
statisticshowto.com › home › floor function and ceiling function: simple definition, table & graph
Floor Function and Ceiling Function: Simple Definition, Table & Graph
August 4, 2019 - The floor function is a type of step function where the function is constant between any two integers. The table below shows values for the function from -5 to 5, along with the corresponding graph:
Desmos
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Flooring and Ceiling Functions | Desmos
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
Wyzant
wyzant.com › resources › ask an expert
Sketch the graph of the floor function | Wyzant Ask An Expert
August 2, 2023 - f(x) =[x + 1] , over the interval [-3, 3) · Raymond B. answered 08/02/23
Reddit
reddit.com › r/desmos › how do you type y=[[x]] in desmos?
r/desmos on Reddit: how do you type y=[[x]] in desmos?
August 31, 2020 -
i am looking to graph the integer-only line, but whenever i try to type [[]], it tells me that you cannot store a list of numbers in a list.
Top answer 1 of 5
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Since the notation for lists in Desmos is [...], it thinks you’re trying to put a list in a list. If you want to preserve the integer of a number, such as [[2.5]]=2, use the floor function, which is just floor(x). Similarly, there is ceil(x) which rounds up and round(x) which rounds to the neeest integer. Hope this helps!
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the function you might be looking for: https://www.desmos.com/calculator/qgerrhcjki
Texas Instruments
education.ti.com › en › customer-support › knowledge-base › ti-nspire-family › product-usage › 33791
Solution 33791: Using the Floor ( ) Function on the TI-Nspire™ Family Products.
The floor function returns the nearest integer that is less than or equal to its argument. This function is identical to the int ( ) function. The argument can be a real or complex number, a number, a list or a matrix.
MathWorks
mathworks.com › matlabcentral › answers › 288384-how-to-plot-the-graph-of-greatest-integer-function
How to plot the graph of Greatest Integer Function ? - MATLAB Answers - MATLAB Central
June 8, 2016 - I was trying to plot greatest integer function by using floor command and stem (to show discontinuity) but what i am getting is,please help me out!!! I used the code x=linspace(1,10,10) y=fl...
BYJUS
byjus.com › maths › ceiling-function
Ceiling Function Definition
June 7, 2022 - So, the highest integer will be 3. ... The graph of ceiling function is a discrete graph that consists of discontinuous line segments with one end with a dark dot (closed interval) and another end with an open circle (open interval).
Math Help Forum
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Graph this floor function (I truly know how to graph it) | Math Help Forum
June 14, 2022 - Someone recently posted that there are not enough problem with floor functions. So here is one. Graph \lfloor x \rfloor + \lfloor y \rfloor = 1