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# Need help!

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

Jun 29, 2018

### 3+0 Answers

#1
+101360
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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  !!!

Jun 29, 2018
edited by CPhill  Jun 29, 2018
edited by CPhill  Jun 29, 2018
#2
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Isn't there also 0? That would make the answer 6.

Jun 29, 2018
#3
+101360
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Thanks, Daniel....The graph doesn't  clearly show it, but 0  should also be added to  the range....I have amended my answer

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