+0  
 
+1
51
4
avatar+1088 

For a real number x, find the number of different possible values of

 May 3, 2020
 #1
avatar+300 
+2

Question! What do those "L" symbols around the \(x\)s mean? Are they like absolute value symbols?

 May 3, 2020
 #2
avatar+111329 
+2

They represent  a "floor" function

 

This means the  largest integer  less than or equal to a given number

 

Ex :

 

Floor  (2)  = 2

Floor (2.5)  = 2

Floor (2.9999)  = 2

Floor (0)   = 0

Floor (- 0.5)  = -1

Floor (-1)  = -1

Floor (-1.5)  = -2

 

And so on....

 

 

cool cool cool

CPhill  May 3, 2020
 #4
avatar+300 
+2

Thank you!

CentsLord  May 3, 2020
 #3
avatar+111329 
+2

Look at the graph here :  https://www.desmos.com/calculator/ol0uvzvw4p

 

When x is an   integer....the result   =  0

 

When x is not an integer.....the result  is  =  -1

 

So....only two possible values ...  0  and - 1

 

 

cool cool cool

 May 3, 2020

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