and 
be 2 distinct positive integers.
be in an integer. Prove why ?
with maximums 
and 
.
,
can be expressed as 
where 
is a positive integer, find 
and 
.
Let 
.
Let 
.
Let 
.
Y by
Consider a function 
that fulfills the following two properties: 
is periodic of period 
(that is, for all 
, 
), and by restricting to the interval ![$[-2,3]$](//latex.artofproblemsolving.com/c/0/e/c0e1b59587281eead4f0941cda7da6a32a663e3f.png)
, coincides to 
. Determine the value of 
that fulfills the following two properties: 
is periodic of period 
(that is, for all 
, 
), and by restricting to the interval ![$[-2,3]$](http://latex.artofproblemsolving.com/c/0/e/c0e1b59587281eead4f0941cda7da6a32a663e3f.png)
, coincides to 
. Determine the value of 
This post has been edited 2 times. Last edited by parmenides51, Oct 1, 2021, 6:48 PM
![$f(x)=x^2\forall x\in[-2,3]$](http://latex.artofproblemsolving.com/1/4/1/141a4dee7ae1dd72ae47c0af86a74597ca1b110c.png)
.
,
.
