What is the greatest integer function?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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What is the greatest integer function?

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The greatest integer function is defined as the function that round-off the real number down to the integer less than the number. it is also called as floor function.

it is denoted as fx=x.

for example,

4.2=43.8=3-3.2=-4

the domain of the greatest integer function is defined in piecewise group of real numbers that divide into intervals like [-3,2), [-2,1) and [2,1).

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