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12 Aug 2016, 09:22
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THE GREATEST INTEGER FUNCTION
Definition: This step function is a piece-wise defined function.
The name piece-wise is used to indicated that the function is pieced together, or put together using other functions.
Think of steps. Think of paying sales tax, or income tax, or buying postage stamps.
Think of paying a nice round number for all services or numbers up to the next round number.
Think of the greatest integer less than or equal to the number in question. That's the greatest integer function.
Its symbol is [[x]]. Its graph looks like steps as above.
The function has discontinuities, breaks, going from one "step" to the next. In each interval, the lower endpoint is included (as shown by a colored in circle) and the upper endpoint (as shown by a hollow circle) is not included because it is included in the next "step."
Keypoints:
If the number is an integer, use that integer.
- [4] = 4
[-2] = -2
If the number is not an integer, use the next smaller integer.
- [4.4] = 4
[-2.3] = -3
A small table of values
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Balajikarthick1990
GMAT 1: 690 Q48 V36
Posts: 211
24 Aug 2016, 23:54
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Nevernevergiveup
Brilliant article. Just to top off a typical caveat in GMAT problem`s.
The Greatest integer function of "-0.9" is "0" and not "-1". We tend to miss this quite often. In the negative scale, the closer a number is to the origin, the bigger it is.
Cheers
Balaji
29 Oct 2016, 00:05
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Balajikarthick1990
Balajikarthick1990
[-0.9] = -1 and not 0.
you can refer below links
https://www.icoachmath.com/math_dictiona ... ction.html
https://www.youtube.com/watch?v=gZsV-uR6ysg
https://www.youtube.com/watch?v=bGZI9rwWb-Q
