How many numbers are in the range of the function \(f(x) = \frac{\lceil 5x - 5\lfloor x \rfloor \rceil}5\)?

Guest Jun 29, 2018

#1**+2 **

Look at the graph here :

https://www.desmos.com/calculator/mdadvpqeu9

Note the graph is "periodic" with a period of 1

It appears that in each "period," there are 6 values in the range (0, 0.2, 0.4, 0.6, 0.8 and 1 )

Thanks to Daniel for spotting that "0" should be added to the range !!!

CPhill
Jun 29, 2018