+0  
 
+1
140
3
avatar

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

 Jun 29, 2018
 #1
avatar+94619 
+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  !!!

 

 

cool cool cool

 Jun 29, 2018
edited by CPhill  Jun 29, 2018
edited by CPhill  Jun 29, 2018
 #2
avatar+126 
0

Isn't there also 0? That would make the answer 6.

 Jun 29, 2018
 #3
avatar+94619 
0

Thanks, Daniel....The graph doesn't  clearly show it, but 0  should also be added to  the range....I have amended my answer

 

cool cool cool

CPhill  Jun 29, 2018
edited by CPhill  Jun 29, 2018

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