For a real number x, find the number of different possible values of
Question! What do those "L" symbols around the \(x\)s mean? Are they like absolute value symbols?
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....
Thank you!
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