Define greatest integer function ? What is domain and range of it ?

Asked by Last Modified  

32 Answers

Follow 0
Answer

Please enter your answer

Karthik Ganeshan

MCA ,BSC(COMPUTER SCIENCE)

The greatest integer function of a real number x is represented by f(x) = or |_x_|. For all real numbers x, the greatest integer function returns the largest integer less than or equal to x Domain and Range: f(x) = is defined for all x, so the domain is (-infinity, infinity). Now, since f(x)...
read more
The greatest integer function of a real number x is represented by f(x) = [x] or |_x_|. For all real numbers x, the greatest integer function returns the largest integer less than or equal to x Domain and Range: f(x) = [x] is defined for all x, so the domain is (-infinity, infinity). Now, since f(x) = [x] gives the largest integer equal to or less than x, [x] outputs only integers by definition. Thus, the range of f(x) = [x] is all integers. read less
Comments
Dislike Bookmark

Tutor

The greatest integer function also known as floor function is defined as follows:- f(x)= ?x? returns the largest integer less than or equal to x. in set notation it is defined as =max {m epsilon Z | m<=x}. Z is set of all integers. The domain for f(x) is R. x can take any real value. And the...
read more
The greatest integer function also known as floor function is defined as follows:- f(x)= ?x? returns the largest integer less than or equal to x. in set notation it is defined as [x]=max {m epsilon Z | m<=x}. Z is set of all integers. The domain for f(x) is R. x can take any real value. And the range is Z. read less
Comments
Dislike Bookmark

Tutor

Format is not getting accepted on this website ....for the floor function symbol...it looks something like Lx_|....essentially square brackets with upper edges removed.
Comments
Dislike Bookmark

Tutor

Very easy...An integer, less than or equal to that number. eg. = 4 , = 4, = 4
Comments
Dislike Bookmark

btech

DOMAIN SET OF REAL NUMBERS, RANGE [0,1)
Comments
Dislike Bookmark

Maths and Physics Tutions

Note that f(x) = is defined for all x, so the domain is (-infinity, infinity). Now, since f(x) = gives the largest integer equal to or less than x, outputs only integers by definition. Thus, the range of f(x) = is all integers.
Comments
Dislike Bookmark

An Engineer from IIEST, Shibpur wants to teach Maths.

The greatest integer function (Ceiling Function) returns the largest integer less than or equal to x, for all real numbers x. The greatest integer function rounds down a real number to the nearest integer. e.g. = 2; = 1; = -4; = -7.
Comments
Dislike Bookmark

B.tech in [E&T]

Previous integer simple definition
Comments
Dislike Bookmark

Trainer

In which subject u r asking?
Comments
Dislike Bookmark

Mathematics for JEE Mains/Advanced, XI & XII (All Boards)

= Greatest Integer less than or equal to x. Graphically, plot the point on the number line and take the nearest integer just left of it. If the number is itself an integer than = x. Domain: R. All real numbers Range: Z. All integers
Comments
Dislike Bookmark

View 30 more Answers

Related Questions

how much fee should i remit for BE IV semester EC, TC for Hardware Descripture Language, Signals and system and Microcontroller
5k is the best rate..
Murali
Which colleges are best for a BTech?
Best institutes for Btech are IISc Banglore,IITs and NITs. If you are from rich family than BITS Pilani may be a good option if you are not selected for above mentioned institutes
Vikas
0 0
View Comments5
How much hours needed to learn Blueprint reading and designing bevel gears on Solid edge. Currently have good knowledge of Auto CAD and done B.tech in mechanical
About 16-18 hrs will be required get well rehearsed
Udbhav
0 0
View Comments8
Is paying Rs 10 lakh for a BTech course at MIT (Manipal) worth it?
NO
Avinesh
0 0
View Comments5
How can I earn money through UrbanPro if I will give online tuition?
you can collect fee through urbanpro "Payment Collection" option.Sign up in it else by online transaction to your bank account.
Pramodini

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

The Future of Mobile App Development
It is a not a big surprise to know that about 179 billion mobile applications are downloaded per year. This big figure indicates about the future of mobile apps .It is a fast growing sector. Like other...

Shibaji Debnath

1 0
View Comments0
Why Indexing Should Start From Zero In Array ?
Why numbering should start at zero? To denote the subsequence of natural numbers 2, 3, ..., 12 without the pernicious three dots, fourconventions are open to usa) 2 ≤ i < 13b) 1 < i ≤ 12c)...

Sunil Yadav

0 0
View Comments0
Current and voltage distribution
a) A current flowing in a wire of a length related to the RF produces an electromagnetic field. This field radiates from the wire and is set free in space. The principles of radiation of electromagnetic...

Harsha Vardhan

7 0
View Comments0
Getting A Bit Deeper Into Time Complexity Analysis
What is Time Complexity Analysis? In the last blog, you got a rough idea about the Time Complexity and that was all about to judge how fast the algorithm can run, or putting it in another way, how much...

Shiladitya Munshi

0 0
View Comments0
How does a piece of sand become a smartphone?
Straight to the point. 1. Atomic charge ⚡: Electrons are negative. Like charges repel, unlike charges attract. Metals(Conductors) allow electron move freely, while insulators hold them tight(doesn't...

Dhamodhar R V

1 0
View Comments0

Recommended Articles

Tuitions for Professional courses - Does...

MBA, Medicine and engineering are the three main professional courses in India. Engineering is still one of the highly sorted after professional courses in the under graduate level, while MBA is favoured as a preferred post graduate course. To shine in these courses, one needs to work and study hard. Engineering as a...

Read full article >

Finding Tuitions for Bachelor of Engineering...

According to a recent survey conducted by the NCAER (National Council of Advanced Economic Research), engineering is the most sought after course in India. Some engineering courses are offered as BE or Bachelor of Engineering while some as Bachelor in Technology or B.Tech. Since engineering is a professional course, the...

Read full article >

Top Benefits of e-Learning

With the current trend of the world going digital, electronic renaissance is a new movement that is welcomed by the new generation as it helps makes the lives of millions of people easier and convenient. Along with this rapidly changing movement and gaining popularity of Internet, e-Learning is a new tool that emerging...

Read full article >

6 Healthy Habits of School Children

While schools provide formal education to the children, the home is where they start learning about things informally. Parents think that schools will take the initiative to educate their children. Well, this is partially true, as parents also play an essential role in bringing up their child. For the development of particular...

Read full article >

Find BTech Tuition near you
BTech Tuition in Hyderabad
BTech Tuition in Bangalore
BTech Tuition in Delhi
BTech Tuition in Chennai
BTech Tuition in Pune
BTech Tuition in Mumbai
BTech Tuition in Kolkata
BTech Tuition in Noida
BTech Tuition in Gurgaon
BTech Tuition in Ghaziabad
Online Btech Tuitions

Looking for BTech Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you